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Finding the Fourth Proportional to 50.27, 69.50 and 49.82

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Solution

The fourth proportional to 50.27, 69.50 and 49.82 is: 68.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.27 : 69.50 = 49.82 : x
  2. Step 2: Convert to fraction form
    50.27/69.50 = 49.82/x
  3. Step 3: Cross multiply
    50.27x = 69.50 × 49.82
  4. Step 4: Simplify right side
    50.27x = 3,461.89
  5. Step 5: Solve for x
    x = 3,461.89/50.27
  6. Step 6: Final answer
    x = 68.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.