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Finding the Fourth Proportional to 110,902.55, 166,472.24 and 47,753.94

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Solution

The fourth proportional to 110,902.55, 166,472.24 and 47,753.94 is: 71,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.55 : 166,472.24 = 47,753.94 : x
  2. Step 2: Convert to fraction form
    110,902.55/166,472.24 = 47,753.94/x
  3. Step 3: Cross multiply
    110,902.55x = 166,472.24 × 47,753.94
  4. Step 4: Simplify right side
    110,902.55x = 7,949,705,121.86
  5. Step 5: Solve for x
    x = 7,949,705,121.86/110,902.55
  6. Step 6: Final answer
    x = 71,681.90

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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.