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Finding the Fourth Proportional to 41,853.28, 57,758 and 22,990

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Solution

The fourth proportional to 41,853.28, 57,758 and 22,990 is: 31,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,853.28 : 57,758 = 22,990 : x
  2. Step 2: Convert to fraction form
    41,853.28/57,758 = 22,990/x
  3. Step 3: Cross multiply
    41,853.28x = 57,758 × 22,990
  4. Step 4: Simplify right side
    41,853.28x = 1,327,856,420
  5. Step 5: Solve for x
    x = 1,327,856,420/41,853.28
  6. Step 6: Final answer
    x = 31,726.46

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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.