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Finding the Fourth Proportional to 51,843.86, 71,545.86 and 29,183.66

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Solution

The fourth proportional to 51,843.86, 71,545.86 and 29,183.66 is: 40,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843.86 : 71,545.86 = 29,183.66 : x
  2. Step 2: Convert to fraction form
    51,843.86/71,545.86 = 29,183.66/x
  3. Step 3: Cross multiply
    51,843.86x = 71,545.86 × 29,183.66
  4. Step 4: Simplify right side
    51,843.86x = 2,087,970,304.47
  5. Step 5: Solve for x
    x = 2,087,970,304.47/51,843.86
  6. Step 6: Final answer
    x = 40,274.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.