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Finding the Fourth Proportional to 41,876.40, 57,789 and 22,755.78

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Solution

The fourth proportional to 41,876.40, 57,789 and 22,755.78 is: 31,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876.40 : 57,789 = 22,755.78 : x
  2. Step 2: Convert to fraction form
    41,876.40/57,789 = 22,755.78/x
  3. Step 3: Cross multiply
    41,876.40x = 57,789 × 22,755.78
  4. Step 4: Simplify right side
    41,876.40x = 1,315,033,770.42
  5. Step 5: Solve for x
    x = 1,315,033,770.42/41,876.40
  6. Step 6: Final answer
    x = 31,402.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.