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Finding the Fourth Proportional to 27,760.38, 41,644.49 and 9,034.40

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Solution

The fourth proportional to 27,760.38, 41,644.49 and 9,034.40 is: 13,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.38 : 41,644.49 = 9,034.40 : x
  2. Step 2: Convert to fraction form
    27,760.38/41,644.49 = 9,034.40/x
  3. Step 3: Cross multiply
    27,760.38x = 41,644.49 × 9,034.40
  4. Step 4: Simplify right side
    27,760.38x = 376,232,727.06
  5. Step 5: Solve for x
    x = 376,232,727.06/27,760.38
  6. Step 6: Final answer
    x = 13,552.87

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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.