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Finding the Fourth Proportional to 32,870, 49,305 and 10,982

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Solution

The fourth proportional to 32,870, 49,305 and 10,982 is: 16,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870 : 49,305 = 10,982 : x
  2. Step 2: Convert to fraction form
    32,870/49,305 = 10,982/x
  3. Step 3: Cross multiply
    32,870x = 49,305 × 10,982
  4. Step 4: Simplify right side
    32,870x = 541,467,510
  5. Step 5: Solve for x
    x = 541,467,510/32,870
  6. Step 6: Final answer
    x = 16,473

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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.