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Finding the Fourth Proportional to 41,414.64, 57,150.42 and 23,509.32

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Solution

The fourth proportional to 41,414.64, 57,150.42 and 23,509.32 is: 32,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414.64 : 57,150.42 = 23,509.32 : x
  2. Step 2: Convert to fraction form
    41,414.64/57,150.42 = 23,509.32/x
  3. Step 3: Cross multiply
    41,414.64x = 57,150.42 × 23,509.32
  4. Step 4: Simplify right side
    41,414.64x = 1,343,567,511.91
  5. Step 5: Solve for x
    x = 1,343,567,511.91/41,414.64
  6. Step 6: Final answer
    x = 32,441.85

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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.