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Finding the Fourth Proportional to 79,728, 119,592 and 32,982

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Solution

The fourth proportional to 79,728, 119,592 and 32,982 is: 49,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,728 : 119,592 = 32,982 : x
  2. Step 2: Convert to fraction form
    79,728/119,592 = 32,982/x
  3. Step 3: Cross multiply
    79,728x = 119,592 × 32,982
  4. Step 4: Simplify right side
    79,728x = 3,944,383,344
  5. Step 5: Solve for x
    x = 3,944,383,344/79,728
  6. Step 6: Final answer
    x = 49,473

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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.