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Finding the Fourth Proportional to 71,414.48, 107,133.87 and 24,656.42

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Solution

The fourth proportional to 71,414.48, 107,133.87 and 24,656.42 is: 36,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.48 : 107,133.87 = 24,656.42 : x
  2. Step 2: Convert to fraction form
    71,414.48/107,133.87 = 24,656.42/x
  3. Step 3: Cross multiply
    71,414.48x = 107,133.87 × 24,656.42
  4. Step 4: Simplify right side
    71,414.48x = 2,641,537,694.95
  5. Step 5: Solve for x
    x = 2,641,537,694.95/71,414.48
  6. Step 6: Final answer
    x = 36,988.82

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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.