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Finding the Fourth Proportional to 51,270.80, 76,906.20 and 50,118.80

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Solution

The fourth proportional to 51,270.80, 76,906.20 and 50,118.80 is: 75,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,270.80 : 76,906.20 = 50,118.80 : x
  2. Step 2: Convert to fraction form
    51,270.80/76,906.20 = 50,118.80/x
  3. Step 3: Cross multiply
    51,270.80x = 76,906.20 × 50,118.80
  4. Step 4: Simplify right side
    51,270.80x = 3,854,446,456.56
  5. Step 5: Solve for x
    x = 3,854,446,456.56/51,270.80
  6. Step 6: Final answer
    x = 75,178.20

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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.