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Finding the Fourth Proportional to 33,221.41, 49,850.33 and 13,494.67

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Solution

The fourth proportional to 33,221.41, 49,850.33 and 13,494.67 is: 20,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.41 : 49,850.33 = 13,494.67 : x
  2. Step 2: Convert to fraction form
    33,221.41/49,850.33 = 13,494.67/x
  3. Step 3: Cross multiply
    33,221.41x = 49,850.33 × 13,494.67
  4. Step 4: Simplify right side
    33,221.41x = 672,713,537.23
  5. Step 5: Solve for x
    x = 672,713,537.23/33,221.41
  6. Step 6: Final answer
    x = 20,249.40

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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.