Professor Corporation acquired $70$ percent of Scholar Corporation's common stock on December $31,20$X$4,$ for $$102,200.$ The fair value of the noncontrolling interest at that date was determined to be $$43,800.$ Data from the balance sheets of the two companies included the following amounts as of the date of acquisition:

$\backslash$table$[[$Item$,\backslash$table$[[$Professor$],[$Corporation$]],\backslash$table$[[$Scholar$],[$Corporation$]]],[$Cash$,$$$50,300,$$$21,000$