Not sure how much you know about Soil Samples, but as an agronomist I figured I would try and help you out. Nitrogen (N) is easily the most demanded nutrient that goes out the door. Nitrogen is essential for growth and yield, and Nitrogen Deficiency is usually represented by the crop turning a yellower shade of green. Nitrogen is also very mobile in the soil, Meaning it can "Leech/Leak" out over time especially in wet environments. Because of this, N recommendations are typically only made based on Crop Removal (Historical numbers showing what a crop typically removes from the soil in order to yield) for fields of Corn and Grass. To get a Nitrogen recommendation for any crop, just look up a crop removal calculator and you can configure it to show you "If you expect 4ton/acre yield, you need X pounds of N". Grass likes N, Alfalfa really doesn't. Your P&K are important for Grass, but not like they are for Alfalfa. Phosphorus and Potassium are also MacroNutrients like Nitrogen, but we can determine how much is necessary based off of soil samples as well as crop removal. Using soil samples allows us to see exactly where your levels are sitting. Are they High? Are they Low? If your P or K are high on the soil test, then we know we can cut back a little on the broadcast application. You NEVER want to knowingly go too low and "Mine/Strip" the nutrients or you'll just be digging yourself a hole. If your soil tests show you are seriously low on some nutrients, then maybe your Crop Advisor will recommend a "Build Blend" where every year you will fertilize for Crop Removal, plus some extra to get your numbers up as well as feed the crop. My recommendation for someone in your position: Grid Sample your field once every 4-6 years. Line it up so you soil sample, and Lime in the same year. If your nutrient levels are low, talk with your salesman to correct it with fertilizer. You can go online and read/teach yourself how many pounds of P&K it takes to increase nutrients by 1 part per million if you dont trust your salesman. If your nutrient levels are normal, find a fertilizer blend that you like and stick with it. As a salesman around Central/Southern MN, my go to blend would be something like a spring application of 100-40-60-15s. All blends are labeled in this fashion where your numbers are in order of Nitrogen, Phos, Potassium, Sulfur. So Per Acre I am recommending 100#N, 40#P, 60#K, and 15#s. You have to remember though, that your blend label is showing you "Actual Pounds" of nutrients, not pounds of fertilizer so we have to take it one step further to figure out your rate of actual fertilizer products like Urea, DAP, MAP, Potash, etc. So per acre you're gonna get 100-40-60-15s, but that really translates to:
Urea- 155lbs
Potash- 100lb
AMS-62.5lb
DAP-87lb
TOTAL RATE PER ACRE= 404pounds
We get there by knowing that the fertilizer UREA has an analysis of 46-0-0 which means 100 pounds of Urea only gives you 46 pounds of Actual Nitrogen. But something like DAP or MAP get tricky because technically we use them as Phosphorus sources, but they also contain a little Nitrogen that you have to account for. MAP=11-52-0 and DAP=18-46-0. So now, if we did 100# Urea and 100# MAP, you're going to end up with 57-52-0 per acre. And AMS is 21-0-0-24s.
I believe that's everything you should need to know to build a fertilizer rec on your own from start to finish. Like I said, you can build your Rx (Recommendation) using two different strategies. Crop Removal and Soil Test. Crop removal calculators can be found for any and all crops online, soil tests give you your Rx right at the bottom. So for you, I would recommend 100-80-40-15s OR 174# DAP, 62.5# AMS, 67# Potash, and 120# Urea. Like I said though, N is mobile in the soil so I would recommend waiting to do any of this till spring; Except the Lime, do the lime in the fall.
EDIT: Not to throw too much at you here, but if you wanted to manage your fertilizer even further I would recommend splitting your Nitrogen applications. you could do 60N in the spring and then: 40N after each cutting OR 60N after 2nd cutting OR if you're grazing do another 60N sometime early-mid June. Keep in mind that all of my advise has been learned from working in ND and MN so it may not be totally applicable where you're at.