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Finding the Fourth Proportional to 33,882.70, 50,787.60 and 12,814.60

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Solution

The fourth proportional to 33,882.70, 50,787.60 and 12,814.60 is: 19,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.70 : 50,787.60 = 12,814.60 : x
  2. Step 2: Convert to fraction form
    33,882.70/50,787.60 = 12,814.60/x
  3. Step 3: Cross multiply
    33,882.70x = 50,787.60 × 12,814.60
  4. Step 4: Simplify right side
    33,882.70x = 650,822,778.96
  5. Step 5: Solve for x
    x = 650,822,778.96/33,882.70
  6. Step 6: Final answer
    x = 19,208.11

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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.