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Finding the Fourth Proportional to 33,456.05, 50,184.17 and 11,285

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Solution

The fourth proportional to 33,456.05, 50,184.17 and 11,285 is: 16,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.05 : 50,184.17 = 11,285 : x
  2. Step 2: Convert to fraction form
    33,456.05/50,184.17 = 11,285/x
  3. Step 3: Cross multiply
    33,456.05x = 50,184.17 × 11,285
  4. Step 4: Simplify right side
    33,456.05x = 566,328,302.03
  5. Step 5: Solve for x
    x = 566,328,302.03/33,456.05
  6. Step 6: Final answer
    x = 16,927.53

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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.