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Finding the Fourth Proportional to 33,481.50, 50,222.25 and 8,857.50

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Solution

The fourth proportional to 33,481.50, 50,222.25 and 8,857.50 is: 13,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481.50 : 50,222.25 = 8,857.50 : x
  2. Step 2: Convert to fraction form
    33,481.50/50,222.25 = 8,857.50/x
  3. Step 3: Cross multiply
    33,481.50x = 50,222.25 × 8,857.50
  4. Step 4: Simplify right side
    33,481.50x = 444,843,579.38
  5. Step 5: Solve for x
    x = 444,843,579.38/33,481.50
  6. Step 6: Final answer
    x = 13,286.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.