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Finding the Fourth Proportional to 82,311.48, 123,476.33 and 32,385

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Solution

The fourth proportional to 82,311.48, 123,476.33 and 32,385 is: 48,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.48 : 123,476.33 = 32,385 : x
  2. Step 2: Convert to fraction form
    82,311.48/123,476.33 = 32,385/x
  3. Step 3: Cross multiply
    82,311.48x = 123,476.33 × 32,385
  4. Step 4: Simplify right side
    82,311.48x = 3,998,780,947.05
  5. Step 5: Solve for x
    x = 3,998,780,947.05/82,311.48
  6. Step 6: Final answer
    x = 48,581.08

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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.