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Finding the Fourth Proportional to 47,875.76, 71,781.24 and 16,694

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Solution

The fourth proportional to 47,875.76, 71,781.24 and 16,694 is: 25,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.76 : 71,781.24 = 16,694 : x
  2. Step 2: Convert to fraction form
    47,875.76/71,781.24 = 16,694/x
  3. Step 3: Cross multiply
    47,875.76x = 71,781.24 × 16,694
  4. Step 4: Simplify right side
    47,875.76x = 1,198,316,020.56
  5. Step 5: Solve for x
    x = 1,198,316,020.56/47,875.76
  6. Step 6: Final answer
    x = 25,029.70

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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.