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Finding the Fourth Proportional to 29,982.82, 41,375.22 and 16,553.80

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Solution

The fourth proportional to 29,982.82, 41,375.22 and 16,553.80 is: 22,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.82 : 41,375.22 = 16,553.80 : x
  2. Step 2: Convert to fraction form
    29,982.82/41,375.22 = 16,553.80/x
  3. Step 3: Cross multiply
    29,982.82x = 41,375.22 × 16,553.80
  4. Step 4: Simplify right side
    29,982.82x = 684,917,116.84
  5. Step 5: Solve for x
    x = 684,917,116.84/29,982.82
  6. Step 6: Final answer
    x = 22,843.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.