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Finding the Fourth Proportional to 27,760.72, 41,644.54 and 9,042.65

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Solution

The fourth proportional to 27,760.72, 41,644.54 and 9,042.65 is: 13,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.72 : 41,644.54 = 9,042.65 : x
  2. Step 2: Convert to fraction form
    27,760.72/41,644.54 = 9,042.65/x
  3. Step 3: Cross multiply
    27,760.72x = 41,644.54 × 9,042.65
  4. Step 4: Simplify right side
    27,760.72x = 376,576,855.47
  5. Step 5: Solve for x
    x = 376,576,855.47/27,760.72
  6. Step 6: Final answer
    x = 13,565.10

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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.