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Finding the Fourth Proportional to 76,829.22, 105,783.05 and 65,321.50

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Solution

The fourth proportional to 76,829.22, 105,783.05 and 65,321.50 is: 89,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,829.22 : 105,783.05 = 65,321.50 : x
  2. Step 2: Convert to fraction form
    76,829.22/105,783.05 = 65,321.50/x
  3. Step 3: Cross multiply
    76,829.22x = 105,783.05 × 65,321.50
  4. Step 4: Simplify right side
    76,829.22x = 6,909,907,078.60
  5. Step 5: Solve for x
    x = 6,909,907,078.60/76,829.22
  6. Step 6: Final answer
    x = 89,938.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.