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Finding the Fourth Proportional to 29,857, 41,202.82 and 16,609

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Solution

The fourth proportional to 29,857, 41,202.82 and 16,609 is: 22,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 41,202.82 = 16,609 : x
  2. Step 2: Convert to fraction form
    29,857/41,202.82 = 16,609/x
  3. Step 3: Cross multiply
    29,857x = 41,202.82 × 16,609
  4. Step 4: Simplify right side
    29,857x = 684,337,637.38
  5. Step 5: Solve for x
    x = 684,337,637.38/29,857
  6. Step 6: Final answer
    x = 22,920.51

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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.