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Finding the Fourth Proportional to 71,877.54, 107,780.13 and 41,901.42

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Solution

The fourth proportional to 71,877.54, 107,780.13 and 41,901.42 is: 62,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.54 : 107,780.13 = 41,901.42 : x
  2. Step 2: Convert to fraction form
    71,877.54/107,780.13 = 41,901.42/x
  3. Step 3: Cross multiply
    71,877.54x = 107,780.13 × 41,901.42
  4. Step 4: Simplify right side
    71,877.54x = 4,516,140,494.78
  5. Step 5: Solve for x
    x = 4,516,140,494.78/71,877.54
  6. Step 6: Final answer
    x = 62,831.04

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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.