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Finding the Fourth Proportional to 33,219.84, 49,843.52 and 13,493.44

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Solution

The fourth proportional to 33,219.84, 49,843.52 and 13,493.44 is: 20,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.84 : 49,843.52 = 13,493.44 : x
  2. Step 2: Convert to fraction form
    33,219.84/49,843.52 = 13,493.44/x
  3. Step 3: Cross multiply
    33,219.84x = 49,843.52 × 13,493.44
  4. Step 4: Simplify right side
    33,219.84x = 672,560,546.51
  5. Step 5: Solve for x
    x = 672,560,546.51/33,219.84
  6. Step 6: Final answer
    x = 20,245.75

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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.