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Finding the Fourth Proportional to 33,560.84, 50,342.80 and 23,744

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Solution

The fourth proportional to 33,560.84, 50,342.80 and 23,744 is: 35,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,560.84 : 50,342.80 = 23,744 : x
  2. Step 2: Convert to fraction form
    33,560.84/50,342.80 = 23,744/x
  3. Step 3: Cross multiply
    33,560.84x = 50,342.80 × 23,744
  4. Step 4: Simplify right side
    33,560.84x = 1,195,339,443.20
  5. Step 5: Solve for x
    x = 1,195,339,443.20/33,560.84
  6. Step 6: Final answer
    x = 35,617.09

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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.