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Finding the Fourth Proportional to 107,115.31, 160,695.50 and 40,553.97

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Solution

The fourth proportional to 107,115.31, 160,695.50 and 40,553.97 is: 60,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,115.31 : 160,695.50 = 40,553.97 : x
  2. Step 2: Convert to fraction form
    107,115.31/160,695.50 = 40,553.97/x
  3. Step 3: Cross multiply
    107,115.31x = 160,695.50 × 40,553.97
  4. Step 4: Simplify right side
    107,115.31x = 6,516,839,680.76
  5. Step 5: Solve for x
    x = 6,516,839,680.76/107,115.31
  6. Step 6: Final answer
    x = 60,839.48

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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.