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Finding the Fourth Proportional to 32,414.28, 44,439.99 and 31,823.82

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Solution

The fourth proportional to 32,414.28, 44,439.99 and 31,823.82 is: 43,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.28 : 44,439.99 = 31,823.82 : x
  2. Step 2: Convert to fraction form
    32,414.28/44,439.99 = 31,823.82/x
  3. Step 3: Cross multiply
    32,414.28x = 44,439.99 × 31,823.82
  4. Step 4: Simplify right side
    32,414.28x = 1,414,250,242.56
  5. Step 5: Solve for x
    x = 1,414,250,242.56/32,414.28
  6. Step 6: Final answer
    x = 43,630.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.