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Finding the Fourth Proportional to 33.82, 50.49 and 31.46

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Solution

The fourth proportional to 33.82, 50.49 and 31.46 is: 46.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 50.49 = 31.46 : x
  2. Step 2: Convert to fraction form
    33.82/50.49 = 31.46/x
  3. Step 3: Cross multiply
    33.82x = 50.49 × 31.46
  4. Step 4: Simplify right side
    33.82x = 1,588.16
  5. Step 5: Solve for x
    x = 1,588.16/33.82
  6. Step 6: Final answer
    x = 46.96

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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.