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Finding the Fourth Proportional to 33,624.56, 50,422.24 and 11,431.97

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Solution

The fourth proportional to 33,624.56, 50,422.24 and 11,431.97 is: 17,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624.56 : 50,422.24 = 11,431.97 : x
  2. Step 2: Convert to fraction form
    33,624.56/50,422.24 = 11,431.97/x
  3. Step 3: Cross multiply
    33,624.56x = 50,422.24 × 11,431.97
  4. Step 4: Simplify right side
    33,624.56x = 576,425,535.01
  5. Step 5: Solve for x
    x = 576,425,535.01/33,624.56
  6. Step 6: Final answer
    x = 17,142.99

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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.