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Finding the Fourth Proportional to 38,484.68, 53,138.92 and 29,517.98

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Solution

The fourth proportional to 38,484.68, 53,138.92 and 29,517.98 is: 40,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.68 : 53,138.92 = 29,517.98 : x
  2. Step 2: Convert to fraction form
    38,484.68/53,138.92 = 29,517.98/x
  3. Step 3: Cross multiply
    38,484.68x = 53,138.92 × 29,517.98
  4. Step 4: Simplify right side
    38,484.68x = 1,568,553,577.78
  5. Step 5: Solve for x
    x = 1,568,553,577.78/38,484.68
  6. Step 6: Final answer
    x = 40,757.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.