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Finding the Fourth Proportional to 33,744.52, 50,601.66 and 12,961

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Solution

The fourth proportional to 33,744.52, 50,601.66 and 12,961 is: 19,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.52 : 50,601.66 = 12,961 : x
  2. Step 2: Convert to fraction form
    33,744.52/50,601.66 = 12,961/x
  3. Step 3: Cross multiply
    33,744.52x = 50,601.66 × 12,961
  4. Step 4: Simplify right side
    33,744.52x = 655,848,115.26
  5. Step 5: Solve for x
    x = 655,848,115.26/33,744.52
  6. Step 6: Final answer
    x = 19,435.69

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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.