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Finding the Fourth Proportional to 82,331.96, 123,527.50 and 32,384.44

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Solution

The fourth proportional to 82,331.96, 123,527.50 and 32,384.44 is: 48,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,331.96 : 123,527.50 = 32,384.44 : x
  2. Step 2: Convert to fraction form
    82,331.96/123,527.50 = 32,384.44/x
  3. Step 3: Cross multiply
    82,331.96x = 123,527.50 × 32,384.44
  4. Step 4: Simplify right side
    82,331.96x = 4,000,368,912.10
  5. Step 5: Solve for x
    x = 4,000,368,912.10/82,331.96
  6. Step 6: Final answer
    x = 48,588.29

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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.