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Finding the Fourth Proportional to 33.10, 49.36 and 32.11

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Solution

The fourth proportional to 33.10, 49.36 and 32.11 is: 47.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 49.36 = 32.11 : x
  2. Step 2: Convert to fraction form
    33.10/49.36 = 32.11/x
  3. Step 3: Cross multiply
    33.10x = 49.36 × 32.11
  4. Step 4: Simplify right side
    33.10x = 1,584.95
  5. Step 5: Solve for x
    x = 1,584.95/33.10
  6. Step 6: Final answer
    x = 47.88

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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.