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Finding the Fourth Proportional to 33,584.90, 50,380.17 and 10,211.54

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Solution

The fourth proportional to 33,584.90, 50,380.17 and 10,211.54 is: 15,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.90 : 50,380.17 = 10,211.54 : x
  2. Step 2: Convert to fraction form
    33,584.90/50,380.17 = 10,211.54/x
  3. Step 3: Cross multiply
    33,584.90x = 50,380.17 × 10,211.54
  4. Step 4: Simplify right side
    33,584.90x = 514,459,121.16
  5. Step 5: Solve for x
    x = 514,459,121.16/33,584.90
  6. Step 6: Final answer
    x = 15,318.17

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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.