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Finding the Fourth Proportional to 107,616.92, 161,431.11 and 32,731.34

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Solution

The fourth proportional to 107,616.92, 161,431.11 and 32,731.34 is: 49,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,616.92 : 161,431.11 = 32,731.34 : x
  2. Step 2: Convert to fraction form
    107,616.92/161,431.11 = 32,731.34/x
  3. Step 3: Cross multiply
    107,616.92x = 161,431.11 × 32,731.34
  4. Step 4: Simplify right side
    107,616.92x = 5,283,855,740.83
  5. Step 5: Solve for x
    x = 5,283,855,740.83/107,616.92
  6. Step 6: Final answer
    x = 49,098.75

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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.