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Finding the Fourth Proportional to 38,704.73, 53,414.67 and 29,127.38

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Solution

The fourth proportional to 38,704.73, 53,414.67 and 29,127.38 is: 40,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.73 : 53,414.67 = 29,127.38 : x
  2. Step 2: Convert to fraction form
    38,704.73/53,414.67 = 29,127.38/x
  3. Step 3: Cross multiply
    38,704.73x = 53,414.67 × 29,127.38
  4. Step 4: Simplify right side
    38,704.73x = 1,555,829,123.59
  5. Step 5: Solve for x
    x = 1,555,829,123.59/38,704.73
  6. Step 6: Final answer
    x = 40,197.40

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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.