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Finding the Fourth Proportional to 33,617.38, 50,414.00 and 11,123.93

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Solution

The fourth proportional to 33,617.38, 50,414.00 and 11,123.93 is: 16,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617.38 : 50,414.00 = 11,123.93 : x
  2. Step 2: Convert to fraction form
    33,617.38/50,414.00 = 11,123.93/x
  3. Step 3: Cross multiply
    33,617.38x = 50,414.00 × 11,123.93
  4. Step 4: Simplify right side
    33,617.38x = 560,801,877.44
  5. Step 5: Solve for x
    x = 560,801,877.44/33,617.38
  6. Step 6: Final answer
    x = 16,681.90

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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.