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Finding the Fourth Proportional to 33.82, 50.38 and 31.76

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Solution

The fourth proportional to 33.82, 50.38 and 31.76 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 50.38 = 31.76 : x
  2. Step 2: Convert to fraction form
    33.82/50.38 = 31.76/x
  3. Step 3: Cross multiply
    33.82x = 50.38 × 31.76
  4. Step 4: Simplify right side
    33.82x = 1,600.07
  5. Step 5: Solve for x
    x = 1,600.07/33.82
  6. Step 6: Final answer
    x = 47.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.