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Finding the Fourth Proportional to 33,584.83, 50,380.53 and 12,519.96

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Solution

The fourth proportional to 33,584.83, 50,380.53 and 12,519.96 is: 18,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.83 : 50,380.53 = 12,519.96 : x
  2. Step 2: Convert to fraction form
    33,584.83/50,380.53 = 12,519.96/x
  3. Step 3: Cross multiply
    33,584.83x = 50,380.53 × 12,519.96
  4. Step 4: Simplify right side
    33,584.83x = 630,761,984.50
  5. Step 5: Solve for x
    x = 630,761,984.50/33,584.83
  6. Step 6: Final answer
    x = 18,781.16

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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.