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Finding the Fourth Proportional to 41,812.32, 57,723.39 and 32,231.28

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Solution

The fourth proportional to 41,812.32, 57,723.39 and 32,231.28 is: 44,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812.32 : 57,723.39 = 32,231.28 : x
  2. Step 2: Convert to fraction form
    41,812.32/57,723.39 = 32,231.28/x
  3. Step 3: Cross multiply
    41,812.32x = 57,723.39 × 32,231.28
  4. Step 4: Simplify right side
    41,812.32x = 1,860,498,745.64
  5. Step 5: Solve for x
    x = 1,860,498,745.64/41,812.32
  6. Step 6: Final answer
    x = 44,496.42

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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.