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Finding the Fourth Proportional to 41,843.52, 57,723.30 and 24,840

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Solution

The fourth proportional to 41,843.52, 57,723.30 and 24,840 is: 34,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,843.52 : 57,723.30 = 24,840 : x
  2. Step 2: Convert to fraction form
    41,843.52/57,723.30 = 24,840/x
  3. Step 3: Cross multiply
    41,843.52x = 57,723.30 × 24,840
  4. Step 4: Simplify right side
    41,843.52x = 1,433,846,772
  5. Step 5: Solve for x
    x = 1,433,846,772/41,843.52
  6. Step 6: Final answer
    x = 34,266.88

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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.