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Finding the Fourth Proportional to 33,149.28, 49,737.60 and 13,422.81

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Solution

The fourth proportional to 33,149.28, 49,737.60 and 13,422.81 is: 20,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.28 : 49,737.60 = 13,422.81 : x
  2. Step 2: Convert to fraction form
    33,149.28/49,737.60 = 13,422.81/x
  3. Step 3: Cross multiply
    33,149.28x = 49,737.60 × 13,422.81
  4. Step 4: Simplify right side
    33,149.28x = 667,618,354.66
  5. Step 5: Solve for x
    x = 667,618,354.66/33,149.28
  6. Step 6: Final answer
    x = 20,139.75

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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.