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Finding the Fourth Proportional to 29,759.97, 41,069.66 and 16,332.09

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Solution

The fourth proportional to 29,759.97, 41,069.66 and 16,332.09 is: 22,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.97 : 41,069.66 = 16,332.09 : x
  2. Step 2: Convert to fraction form
    29,759.97/41,069.66 = 16,332.09/x
  3. Step 3: Cross multiply
    29,759.97x = 41,069.66 × 16,332.09
  4. Step 4: Simplify right side
    29,759.97x = 670,753,383.39
  5. Step 5: Solve for x
    x = 670,753,383.39/29,759.97
  6. Step 6: Final answer
    x = 22,538.78

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