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Finding the Fourth Proportional to 33,706.92, 50,517.86 and 17,071.14

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Solution

The fourth proportional to 33,706.92, 50,517.86 and 17,071.14 is: 25,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.92 : 50,517.86 = 17,071.14 : x
  2. Step 2: Convert to fraction form
    33,706.92/50,517.86 = 17,071.14/x
  3. Step 3: Cross multiply
    33,706.92x = 50,517.86 × 17,071.14
  4. Step 4: Simplify right side
    33,706.92x = 862,397,375.20
  5. Step 5: Solve for x
    x = 862,397,375.20/33,706.92
  6. Step 6: Final answer
    x = 25,585.17

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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.