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Finding the Fourth Proportional to 33,288.12, 49,942.08 and 17,694

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Solution

The fourth proportional to 33,288.12, 49,942.08 and 17,694 is: 26,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288.12 : 49,942.08 = 17,694 : x
  2. Step 2: Convert to fraction form
    33,288.12/49,942.08 = 17,694/x
  3. Step 3: Cross multiply
    33,288.12x = 49,942.08 × 17,694
  4. Step 4: Simplify right side
    33,288.12x = 883,675,163.52
  5. Step 5: Solve for x
    x = 883,675,163.52/33,288.12
  6. Step 6: Final answer
    x = 26,546.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.