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Finding the Fourth Proportional to 29,682.38, 40,961.68 and 16,434.38

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Solution

The fourth proportional to 29,682.38, 40,961.68 and 16,434.38 is: 22,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.38 : 40,961.68 = 16,434.38 : x
  2. Step 2: Convert to fraction form
    29,682.38/40,961.68 = 16,434.38/x
  3. Step 3: Cross multiply
    29,682.38x = 40,961.68 × 16,434.38
  4. Step 4: Simplify right side
    29,682.38x = 673,179,568.66
  5. Step 5: Solve for x
    x = 673,179,568.66/29,682.38
  6. Step 6: Final answer
    x = 22,679.44

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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.