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Finding the Fourth Proportional to 33,609.53, 50,414.30 and 11,438.82

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Solution

The fourth proportional to 33,609.53, 50,414.30 and 11,438.82 is: 17,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.53 : 50,414.30 = 11,438.82 : x
  2. Step 2: Convert to fraction form
    33,609.53/50,414.30 = 11,438.82/x
  3. Step 3: Cross multiply
    33,609.53x = 50,414.30 × 11,438.82
  4. Step 4: Simplify right side
    33,609.53x = 576,680,088.83
  5. Step 5: Solve for x
    x = 576,680,088.83/33,609.53
  6. Step 6: Final answer
    x = 17,158.23

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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.