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Finding the Fourth Proportional to 41,657.26, 57,487 and 22,794.38

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Solution

The fourth proportional to 41,657.26, 57,487 and 22,794.38 is: 31,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.26 : 57,487 = 22,794.38 : x
  2. Step 2: Convert to fraction form
    41,657.26/57,487 = 22,794.38/x
  3. Step 3: Cross multiply
    41,657.26x = 57,487 × 22,794.38
  4. Step 4: Simplify right side
    41,657.26x = 1,310,380,523.06
  5. Step 5: Solve for x
    x = 1,310,380,523.06/41,657.26
  6. Step 6: Final answer
    x = 31,456.23

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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.