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Finding the Fourth Proportional to 71,910.54, 107,881.39 and 27,537.30

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Solution

The fourth proportional to 71,910.54, 107,881.39 and 27,537.30 is: 41,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,910.54 : 107,881.39 = 27,537.30 : x
  2. Step 2: Convert to fraction form
    71,910.54/107,881.39 = 27,537.30/x
  3. Step 3: Cross multiply
    71,910.54x = 107,881.39 × 27,537.30
  4. Step 4: Simplify right side
    71,910.54x = 2,970,761,962.73
  5. Step 5: Solve for x
    x = 2,970,761,962.73/71,910.54
  6. Step 6: Final answer
    x = 41,311.91

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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.