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Finding the Fourth Proportional to 110,553.76, 165,836.28 and 31,679.56

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Solution

The fourth proportional to 110,553.76, 165,836.28 and 31,679.56 is: 47,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,553.76 : 165,836.28 = 31,679.56 : x
  2. Step 2: Convert to fraction form
    110,553.76/165,836.28 = 31,679.56/x
  3. Step 3: Cross multiply
    110,553.76x = 165,836.28 × 31,679.56
  4. Step 4: Simplify right side
    110,553.76x = 5,253,620,382.44
  5. Step 5: Solve for x
    x = 5,253,620,382.44/110,553.76
  6. Step 6: Final answer
    x = 47,520.96

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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.