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Finding the Fourth Proportional to 27,930.74, 41,882.90 and 10,149

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Solution

The fourth proportional to 27,930.74, 41,882.90 and 10,149 is: 15,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.74 : 41,882.90 = 10,149 : x
  2. Step 2: Convert to fraction form
    27,930.74/41,882.90 = 10,149/x
  3. Step 3: Cross multiply
    27,930.74x = 41,882.90 × 10,149
  4. Step 4: Simplify right side
    27,930.74x = 425,069,552.10
  5. Step 5: Solve for x
    x = 425,069,552.10/27,930.74
  6. Step 6: Final answer
    x = 15,218.70

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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.