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Finding the Fourth Proportional to 33.71, 50.16 and 32.09

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Solution

The fourth proportional to 33.71, 50.16 and 32.09 is: 47.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.71 : 50.16 = 32.09 : x
  2. Step 2: Convert to fraction form
    33.71/50.16 = 32.09/x
  3. Step 3: Cross multiply
    33.71x = 50.16 × 32.09
  4. Step 4: Simplify right side
    33.71x = 1,609.38
  5. Step 5: Solve for x
    x = 1,609.38/33.71
  6. Step 6: Final answer
    x = 47.75

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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.