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Finding the Fourth Proportional to 52,200.78, 78,292.17 and 17,141.10

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Solution

The fourth proportional to 52,200.78, 78,292.17 and 17,141.10 is: 25,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200.78 : 78,292.17 = 17,141.10 : x
  2. Step 2: Convert to fraction form
    52,200.78/78,292.17 = 17,141.10/x
  3. Step 3: Cross multiply
    52,200.78x = 78,292.17 × 17,141.10
  4. Step 4: Simplify right side
    52,200.78x = 1,342,013,915.19
  5. Step 5: Solve for x
    x = 1,342,013,915.19/52,200.78
  6. Step 6: Final answer
    x = 25,708.69

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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.