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Finding the Fourth Proportional to 33,195.74, 49,793.60 and 12,414.38

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Solution

The fourth proportional to 33,195.74, 49,793.60 and 12,414.38 is: 18,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195.74 : 49,793.60 = 12,414.38 : x
  2. Step 2: Convert to fraction form
    33,195.74/49,793.60 = 12,414.38/x
  3. Step 3: Cross multiply
    33,195.74x = 49,793.60 × 12,414.38
  4. Step 4: Simplify right side
    33,195.74x = 618,156,454.04
  5. Step 5: Solve for x
    x = 618,156,454.04/33,195.74
  6. Step 6: Final answer
    x = 18,621.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.