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Finding the Fourth Proportional to 80,842.50, 111,562.65 and 47,308.50

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Solution

The fourth proportional to 80,842.50, 111,562.65 and 47,308.50 is: 65,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,842.50 : 111,562.65 = 47,308.50 : x
  2. Step 2: Convert to fraction form
    80,842.50/111,562.65 = 47,308.50/x
  3. Step 3: Cross multiply
    80,842.50x = 111,562.65 × 47,308.50
  4. Step 4: Simplify right side
    80,842.50x = 5,277,861,627.53
  5. Step 5: Solve for x
    x = 5,277,861,627.53/80,842.50
  6. Step 6: Final answer
    x = 65,285.73

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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.