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Finding the Fourth Proportional to 33,219.54, 49,836.15 and 13,498.06

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Solution

The fourth proportional to 33,219.54, 49,836.15 and 13,498.06 is: 20,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.54 : 49,836.15 = 13,498.06 : x
  2. Step 2: Convert to fraction form
    33,219.54/49,836.15 = 13,498.06/x
  3. Step 3: Cross multiply
    33,219.54x = 49,836.15 × 13,498.06
  4. Step 4: Simplify right side
    33,219.54x = 672,691,342.87
  5. Step 5: Solve for x
    x = 672,691,342.87/33,219.54
  6. Step 6: Final answer
    x = 20,249.87

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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.