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Finding the Fourth Proportional to 34,610.97, 47,781.50 and 27,730.12

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Solution

The fourth proportional to 34,610.97, 47,781.50 and 27,730.12 is: 38,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.97 : 47,781.50 = 27,730.12 : x
  2. Step 2: Convert to fraction form
    34,610.97/47,781.50 = 27,730.12/x
  3. Step 3: Cross multiply
    34,610.97x = 47,781.50 × 27,730.12
  4. Step 4: Simplify right side
    34,610.97x = 1,324,986,728.78
  5. Step 5: Solve for x
    x = 1,324,986,728.78/34,610.97
  6. Step 6: Final answer
    x = 38,282.28

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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.