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Finding the Fourth Proportional to 41,644.20, 57,469.20 and 22,781.64

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Solution

The fourth proportional to 41,644.20, 57,469.20 and 22,781.64 is: 31,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.20 : 57,469.20 = 22,781.64 : x
  2. Step 2: Convert to fraction form
    41,644.20/57,469.20 = 22,781.64/x
  3. Step 3: Cross multiply
    41,644.20x = 57,469.20 × 22,781.64
  4. Step 4: Simplify right side
    41,644.20x = 1,309,242,625.49
  5. Step 5: Solve for x
    x = 1,309,242,625.49/41,644.20
  6. Step 6: Final answer
    x = 31,438.77

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1.5x scale

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.