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Finding the Fourth Proportional to 41,883.86, 62,766.15 and 20,803.24

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Solution

The fourth proportional to 41,883.86, 62,766.15 and 20,803.24 is: 31,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,883.86 : 62,766.15 = 20,803.24 : x
  2. Step 2: Convert to fraction form
    41,883.86/62,766.15 = 20,803.24/x
  3. Step 3: Cross multiply
    41,883.86x = 62,766.15 × 20,803.24
  4. Step 4: Simplify right side
    41,883.86x = 1,305,739,282.33
  5. Step 5: Solve for x
    x = 1,305,739,282.33/41,883.86
  6. Step 6: Final answer
    x = 31,175.24

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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.