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Finding the Fourth Proportional to 71,442.52, 107,141.90 and 49,397.56

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Solution

The fourth proportional to 71,442.52, 107,141.90 and 49,397.56 is: 74,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.52 : 107,141.90 = 49,397.56 : x
  2. Step 2: Convert to fraction form
    71,442.52/107,141.90 = 49,397.56/x
  3. Step 3: Cross multiply
    71,442.52x = 107,141.90 × 49,397.56
  4. Step 4: Simplify right side
    71,442.52x = 5,292,548,433.76
  5. Step 5: Solve for x
    x = 5,292,548,433.76/71,442.52
  6. Step 6: Final answer
    x = 74,081.21

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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.