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Finding the Fourth Proportional to 52,532.97, 72,497.52 and 29,874

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Solution

The fourth proportional to 52,532.97, 72,497.52 and 29,874 is: 41,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532.97 : 72,497.52 = 29,874 : x
  2. Step 2: Convert to fraction form
    52,532.97/72,497.52 = 29,874/x
  3. Step 3: Cross multiply
    52,532.97x = 72,497.52 × 29,874
  4. Step 4: Simplify right side
    52,532.97x = 2,165,790,912.48
  5. Step 5: Solve for x
    x = 2,165,790,912.48/52,532.97
  6. Step 6: Final answer
    x = 41,227.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.