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Finding the Fourth Proportional to 41,490.28, 57,255.96 and 22,627

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Solution

The fourth proportional to 41,490.28, 57,255.96 and 22,627 is: 31,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,490.28 : 57,255.96 = 22,627 : x
  2. Step 2: Convert to fraction form
    41,490.28/57,255.96 = 22,627/x
  3. Step 3: Cross multiply
    41,490.28x = 57,255.96 × 22,627
  4. Step 4: Simplify right side
    41,490.28x = 1,295,530,606.92
  5. Step 5: Solve for x
    x = 1,295,530,606.92/41,490.28
  6. Step 6: Final answer
    x = 31,224.92

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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.