You have taken out a $60-$month, $$19,000$ car loan with an APR of $6\%,$ compounded monthly. The monthly payment on the loan is $$367\mathrm{.}32.$ Assume that right after you make your $50$ th payment, the balance of the loan is $$3,574\mathrm{.}17.$ How much of your next payment goes toward principal and how much goes toward interest? Compare this with the prinicipal and interest paid in the first month's payment. $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$