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Finding the Fourth Proportional to 83,200.32, 124,791.84 and 27,792

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Solution

The fourth proportional to 83,200.32, 124,791.84 and 27,792 is: 41,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.32 : 124,791.84 = 27,792 : x
  2. Step 2: Convert to fraction form
    83,200.32/124,791.84 = 27,792/x
  3. Step 3: Cross multiply
    83,200.32x = 124,791.84 × 27,792
  4. Step 4: Simplify right side
    83,200.32x = 3,468,214,817.28
  5. Step 5: Solve for x
    x = 3,468,214,817.28/83,200.32
  6. Step 6: Final answer
    x = 41,685.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.