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Finding the Fourth Proportional to 31,909.12, 47,869.52 and 9,720

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Solution

The fourth proportional to 31,909.12, 47,869.52 and 9,720 is: 14,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.12 : 47,869.52 = 9,720 : x
  2. Step 2: Convert to fraction form
    31,909.12/47,869.52 = 9,720/x
  3. Step 3: Cross multiply
    31,909.12x = 47,869.52 × 9,720
  4. Step 4: Simplify right side
    31,909.12x = 465,291,734.40
  5. Step 5: Solve for x
    x = 465,291,734.40/31,909.12
  6. Step 6: Final answer
    x = 14,581.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.