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Finding the Fourth Proportional to 57,151.30, 85,782.22 and 27,589.90

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Solution

The fourth proportional to 57,151.30, 85,782.22 and 27,589.90 is: 41,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,151.30 : 85,782.22 = 27,589.90 : x
  2. Step 2: Convert to fraction form
    57,151.30/85,782.22 = 27,589.90/x
  3. Step 3: Cross multiply
    57,151.30x = 85,782.22 × 27,589.90
  4. Step 4: Simplify right side
    57,151.30x = 2,366,722,871.58
  5. Step 5: Solve for x
    x = 2,366,722,871.58/57,151.30
  6. Step 6: Final answer
    x = 41,411.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.