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Finding the Fourth Proportional to 33,166.17, 49,763.84 and 10,982.70

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Solution

The fourth proportional to 33,166.17, 49,763.84 and 10,982.70 is: 16,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.17 : 49,763.84 = 10,982.70 : x
  2. Step 2: Convert to fraction form
    33,166.17/49,763.84 = 10,982.70/x
  3. Step 3: Cross multiply
    33,166.17x = 49,763.84 × 10,982.70
  4. Step 4: Simplify right side
    33,166.17x = 546,541,270.65
  5. Step 5: Solve for x
    x = 546,541,270.65/33,166.17
  6. Step 6: Final answer
    x = 16,478.88

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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.