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Finding the Fourth Proportional to 71,789, 107,687.82 and 22,541

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Solution

The fourth proportional to 71,789, 107,687.82 and 22,541 is: 33,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,789 : 107,687.82 = 22,541 : x
  2. Step 2: Convert to fraction form
    71,789/107,687.82 = 22,541/x
  3. Step 3: Cross multiply
    71,789x = 107,687.82 × 22,541
  4. Step 4: Simplify right side
    71,789x = 2,427,391,150.62
  5. Step 5: Solve for x
    x = 2,427,391,150.62/71,789
  6. Step 6: Final answer
    x = 33,812.86

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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.