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Finding the Fourth Proportional to 71,914.52, 107,885.94 and 22,001.76

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Solution

The fourth proportional to 71,914.52, 107,885.94 and 22,001.76 is: 33,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,914.52 : 107,885.94 = 22,001.76 : x
  2. Step 2: Convert to fraction form
    71,914.52/107,885.94 = 22,001.76/x
  3. Step 3: Cross multiply
    71,914.52x = 107,885.94 × 22,001.76
  4. Step 4: Simplify right side
    71,914.52x = 2,373,680,559.25
  5. Step 5: Solve for x
    x = 2,373,680,559.25/71,914.52
  6. Step 6: Final answer
    x = 33,006.97

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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.