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Finding the Fourth Proportional to 27,792.70, 41,691.82 and 9,071.98

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Solution

The fourth proportional to 27,792.70, 41,691.82 and 9,071.98 is: 13,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.70 : 41,691.82 = 9,071.98 : x
  2. Step 2: Convert to fraction form
    27,792.70/41,691.82 = 9,071.98/x
  3. Step 3: Cross multiply
    27,792.70x = 41,691.82 × 9,071.98
  4. Step 4: Simplify right side
    27,792.70x = 378,227,357.20
  5. Step 5: Solve for x
    x = 378,227,357.20/27,792.70
  6. Step 6: Final answer
    x = 13,608.87

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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.