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Finding the Fourth Proportional to 50.38, 75.57 and 47.75

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Solution

The fourth proportional to 50.38, 75.57 and 47.75 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 75.57 = 47.75 : x
  2. Step 2: Convert to fraction form
    50.38/75.57 = 47.75/x
  3. Step 3: Cross multiply
    50.38x = 75.57 × 47.75
  4. Step 4: Simplify right side
    50.38x = 3,607.85
  5. Step 5: Solve for x
    x = 3,607.85/50.38
  6. Step 6: Final answer
    x = 71.61

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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.