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Finding the Fourth Proportional to 50.11, 75.26 and 47.61

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Solution

The fourth proportional to 50.11, 75.26 and 47.61 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.11 : 75.26 = 47.61 : x
  2. Step 2: Convert to fraction form
    50.11/75.26 = 47.61/x
  3. Step 3: Cross multiply
    50.11x = 75.26 × 47.61
  4. Step 4: Simplify right side
    50.11x = 3,583.25
  5. Step 5: Solve for x
    x = 3,583.25/50.11
  6. Step 6: Final answer
    x = 71.51

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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.