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Finding the Fourth Proportional to 50.36, 75.97 and 47.82

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Solution

The fourth proportional to 50.36, 75.97 and 47.82 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.36 : 75.97 = 47.82 : x
  2. Step 2: Convert to fraction form
    50.36/75.97 = 47.82/x
  3. Step 3: Cross multiply
    50.36x = 75.97 × 47.82
  4. Step 4: Simplify right side
    50.36x = 3,633.23
  5. Step 5: Solve for x
    x = 3,633.23/50.36
  6. Step 6: Final answer
    x = 72.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.