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Finding the Fourth Proportional to 33,255.96, 49,840.84 and 13,511.60

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Solution

The fourth proportional to 33,255.96, 49,840.84 and 13,511.60 is: 20,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,255.96 : 49,840.84 = 13,511.60 : x
  2. Step 2: Convert to fraction form
    33,255.96/49,840.84 = 13,511.60/x
  3. Step 3: Cross multiply
    33,255.96x = 49,840.84 × 13,511.60
  4. Step 4: Simplify right side
    33,255.96x = 673,429,493.74
  5. Step 5: Solve for x
    x = 673,429,493.74/33,255.96
  6. Step 6: Final answer
    x = 20,249.89

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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.