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Finding the Fourth Proportional to 110,773.86, 166,142.10 and 31,869.78

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Solution

The fourth proportional to 110,773.86, 166,142.10 and 31,869.78 is: 47,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,773.86 : 166,142.10 = 31,869.78 : x
  2. Step 2: Convert to fraction form
    110,773.86/166,142.10 = 31,869.78/x
  3. Step 3: Cross multiply
    110,773.86x = 166,142.10 × 31,869.78
  4. Step 4: Simplify right side
    110,773.86x = 5,294,912,175.74
  5. Step 5: Solve for x
    x = 5,294,912,175.74/110,773.86
  6. Step 6: Final answer
    x = 47,799.29

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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.