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Finding the Fourth Proportional to 71,446.82, 107,171.14 and 49,254.26

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Solution

The fourth proportional to 71,446.82, 107,171.14 and 49,254.26 is: 73,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446.82 : 107,171.14 = 49,254.26 : x
  2. Step 2: Convert to fraction form
    71,446.82/107,171.14 = 49,254.26/x
  3. Step 3: Cross multiply
    71,446.82x = 107,171.14 × 49,254.26
  4. Step 4: Simplify right side
    71,446.82x = 5,278,635,194.06
  5. Step 5: Solve for x
    x = 5,278,635,194.06/71,446.82
  6. Step 6: Final answer
    x = 73,882.02

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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.