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Finding the Fourth Proportional to 99,247.74, 148,892.16 and 32,691.96

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Solution

The fourth proportional to 99,247.74, 148,892.16 and 32,691.96 is: 49,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,247.74 : 148,892.16 = 32,691.96 : x
  2. Step 2: Convert to fraction form
    99,247.74/148,892.16 = 32,691.96/x
  3. Step 3: Cross multiply
    99,247.74x = 148,892.16 × 32,691.96
  4. Step 4: Simplify right side
    99,247.74x = 4,867,576,539.03
  5. Step 5: Solve for x
    x = 4,867,576,539.03/99,247.74
  6. Step 6: Final answer
    x = 49,044.71

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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.