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Finding the Fourth Proportional to 41,644.10, 57,468.38 and 22,781

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Solution

The fourth proportional to 41,644.10, 57,468.38 and 22,781 is: 31,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.10 : 57,468.38 = 22,781 : x
  2. Step 2: Convert to fraction form
    41,644.10/57,468.38 = 22,781/x
  3. Step 3: Cross multiply
    41,644.10x = 57,468.38 × 22,781
  4. Step 4: Simplify right side
    41,644.10x = 1,309,187,164.78
  5. Step 5: Solve for x
    x = 1,309,187,164.78/41,644.10
  6. Step 6: Final answer
    x = 31,437.52

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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.