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Finding the Fourth Proportional to 47,476.92, 71,221.14 and 16,319.16

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Solution

The fourth proportional to 47,476.92, 71,221.14 and 16,319.16 is: 24,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476.92 : 71,221.14 = 16,319.16 : x
  2. Step 2: Convert to fraction form
    47,476.92/71,221.14 = 16,319.16/x
  3. Step 3: Cross multiply
    47,476.92x = 71,221.14 × 16,319.16
  4. Step 4: Simplify right side
    47,476.92x = 1,162,269,179.04
  5. Step 5: Solve for x
    x = 1,162,269,179.04/47,476.92
  6. Step 6: Final answer
    x = 24,480.72

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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.