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Finding the Fourth Proportional to 29,489, 40,694.82 and 16,241

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Solution

The fourth proportional to 29,489, 40,694.82 and 16,241 is: 22,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489 : 40,694.82 = 16,241 : x
  2. Step 2: Convert to fraction form
    29,489/40,694.82 = 16,241/x
  3. Step 3: Cross multiply
    29,489x = 40,694.82 × 16,241
  4. Step 4: Simplify right side
    29,489x = 660,924,571.62
  5. Step 5: Solve for x
    x = 660,924,571.62/29,489
  6. Step 6: Final answer
    x = 22,412.58

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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.