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Finding the Fourth Proportional to 49,163.78, 67,874.02 and 32,445.38

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Solution

The fourth proportional to 49,163.78, 67,874.02 and 32,445.38 is: 44,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.78 : 67,874.02 = 32,445.38 : x
  2. Step 2: Convert to fraction form
    49,163.78/67,874.02 = 32,445.38/x
  3. Step 3: Cross multiply
    49,163.78x = 67,874.02 × 32,445.38
  4. Step 4: Simplify right side
    49,163.78x = 2,202,198,371.03
  5. Step 5: Solve for x
    x = 2,202,198,371.03/49,163.78
  6. Step 6: Final answer
    x = 44,793.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.