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Finding the Fourth Proportional to 33,467.84, 50,169.76 and 12,402.24

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Solution

The fourth proportional to 33,467.84, 50,169.76 and 12,402.24 is: 18,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467.84 : 50,169.76 = 12,402.24 : x
  2. Step 2: Convert to fraction form
    33,467.84/50,169.76 = 12,402.24/x
  3. Step 3: Cross multiply
    33,467.84x = 50,169.76 × 12,402.24
  4. Step 4: Simplify right side
    33,467.84x = 622,217,404.26
  5. Step 5: Solve for x
    x = 622,217,404.26/33,467.84
  6. Step 6: Final answer
    x = 18,591.50

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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.