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Finding the Fourth Proportional to 82,257.66, 123,395.94 and 32,331.15

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Solution

The fourth proportional to 82,257.66, 123,395.94 and 32,331.15 is: 48,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257.66 : 123,395.94 = 32,331.15 : x
  2. Step 2: Convert to fraction form
    82,257.66/123,395.94 = 32,331.15/x
  3. Step 3: Cross multiply
    82,257.66x = 123,395.94 × 32,331.15
  4. Step 4: Simplify right side
    82,257.66x = 3,989,532,645.53
  5. Step 5: Solve for x
    x = 3,989,532,645.53/82,257.66
  6. Step 6: Final answer
    x = 48,500.44

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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.