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Finding the Fourth Proportional to 29,682.38, 40,961.68 and 17,107.94

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Solution

The fourth proportional to 29,682.38, 40,961.68 and 17,107.94 is: 23,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.38 : 40,961.68 = 17,107.94 : x
  2. Step 2: Convert to fraction form
    29,682.38/40,961.68 = 17,107.94/x
  3. Step 3: Cross multiply
    29,682.38x = 40,961.68 × 17,107.94
  4. Step 4: Simplify right side
    29,682.38x = 700,769,716.16
  5. Step 5: Solve for x
    x = 700,769,716.16/29,682.38
  6. Step 6: Final answer
    x = 23,608.95

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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.