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Finding the Fourth Proportional to 27,952.52, 41,930.10 and 9,234.23

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Solution

The fourth proportional to 27,952.52, 41,930.10 and 9,234.23 is: 13,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.52 : 41,930.10 = 9,234.23 : x
  2. Step 2: Convert to fraction form
    27,952.52/41,930.10 = 9,234.23/x
  3. Step 3: Cross multiply
    27,952.52x = 41,930.10 × 9,234.23
  4. Step 4: Simplify right side
    27,952.52x = 387,192,292.15
  5. Step 5: Solve for x
    x = 387,192,292.15/27,952.52
  6. Step 6: Final answer
    x = 13,851.78

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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.