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Finding the Fourth Proportional to 67,497.30, 101,163.87 and 47,781.54

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Solution

The fourth proportional to 67,497.30, 101,163.87 and 47,781.54 is: 71,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,497.30 : 101,163.87 = 47,781.54 : x
  2. Step 2: Convert to fraction form
    67,497.30/101,163.87 = 47,781.54/x
  3. Step 3: Cross multiply
    67,497.30x = 101,163.87 × 47,781.54
  4. Step 4: Simplify right side
    67,497.30x = 4,833,765,500.96
  5. Step 5: Solve for x
    x = 4,833,765,500.96/67,497.30
  6. Step 6: Final answer
    x = 71,614.21

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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.