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Finding the Fourth Proportional to 33,794.20, 50,732.90 and 21,314.20

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Solution

The fourth proportional to 33,794.20, 50,732.90 and 21,314.20 is: 31,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794.20 : 50,732.90 = 21,314.20 : x
  2. Step 2: Convert to fraction form
    33,794.20/50,732.90 = 21,314.20/x
  3. Step 3: Cross multiply
    33,794.20x = 50,732.90 × 21,314.20
  4. Step 4: Simplify right side
    33,794.20x = 1,081,331,177.18
  5. Step 5: Solve for x
    x = 1,081,331,177.18/33,794.20
  6. Step 6: Final answer
    x = 31,997.54

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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.