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Finding the Fourth Proportional to 33,094.32, 49,640.24 and 8,134.44

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Solution

The fourth proportional to 33,094.32, 49,640.24 and 8,134.44 is: 12,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094.32 : 49,640.24 = 8,134.44 : x
  2. Step 2: Convert to fraction form
    33,094.32/49,640.24 = 8,134.44/x
  3. Step 3: Cross multiply
    33,094.32x = 49,640.24 × 8,134.44
  4. Step 4: Simplify right side
    33,094.32x = 403,795,553.87
  5. Step 5: Solve for x
    x = 403,795,553.87/33,094.32
  6. Step 6: Final answer
    x = 12,201.36

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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.