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Finding the Fourth Proportional to 41,563.94, 57,356.58 and 23,414.24

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Solution

The fourth proportional to 41,563.94, 57,356.58 and 23,414.24 is: 32,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.94 : 57,356.58 = 23,414.24 : x
  2. Step 2: Convert to fraction form
    41,563.94/57,356.58 = 23,414.24/x
  3. Step 3: Cross multiply
    41,563.94x = 57,356.58 × 23,414.24
  4. Step 4: Simplify right side
    41,563.94x = 1,342,960,729.70
  5. Step 5: Solve for x
    x = 1,342,960,729.70/41,563.94
  6. Step 6: Final answer
    x = 32,310.72

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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.