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Finding the Fourth Proportional to 47,493.92, 71,217.12 and 15,893.12

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Solution

The fourth proportional to 47,493.92, 71,217.12 and 15,893.12 is: 23,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493.92 : 71,217.12 = 15,893.12 : x
  2. Step 2: Convert to fraction form
    47,493.92/71,217.12 = 15,893.12/x
  3. Step 3: Cross multiply
    47,493.92x = 71,217.12 × 15,893.12
  4. Step 4: Simplify right side
    47,493.92x = 1,131,862,234.21
  5. Step 5: Solve for x
    x = 1,131,862,234.21/47,493.92
  6. Step 6: Final answer
    x = 23,831.73

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Why These Related Problems?

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