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Finding the Fourth Proportional to 82,549.20, 123,782.22 and 40,432.44

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Solution

The fourth proportional to 82,549.20, 123,782.22 and 40,432.44 is: 60,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,549.20 : 123,782.22 = 40,432.44 : x
  2. Step 2: Convert to fraction form
    82,549.20/123,782.22 = 40,432.44/x
  3. Step 3: Cross multiply
    82,549.20x = 123,782.22 × 40,432.44
  4. Step 4: Simplify right side
    82,549.20x = 5,004,817,183.22
  5. Step 5: Solve for x
    x = 5,004,817,183.22/82,549.20
  6. Step 6: Final answer
    x = 60,628.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.