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Finding the Fourth Proportional to 50.24, 69.78 and 48.80

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Solution

The fourth proportional to 50.24, 69.78 and 48.80 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.24 : 69.78 = 48.80 : x
  2. Step 2: Convert to fraction form
    50.24/69.78 = 48.80/x
  3. Step 3: Cross multiply
    50.24x = 69.78 × 48.80
  4. Step 4: Simplify right side
    50.24x = 3,404.92
  5. Step 5: Solve for x
    x = 3,404.92/50.24
  6. Step 6: Final answer
    x = 67.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.