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Finding the Fourth Proportional to 71,469.52, 107,196.66 and 29,353.96

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Solution

The fourth proportional to 71,469.52, 107,196.66 and 29,353.96 is: 44,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469.52 : 107,196.66 = 29,353.96 : x
  2. Step 2: Convert to fraction form
    71,469.52/107,196.66 = 29,353.96/x
  3. Step 3: Cross multiply
    71,469.52x = 107,196.66 × 29,353.96
  4. Step 4: Simplify right side
    71,469.52x = 3,146,646,469.77
  5. Step 5: Solve for x
    x = 3,146,646,469.77/71,469.52
  6. Step 6: Final answer
    x = 44,027.81

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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.