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Finding the Fourth Proportional to 38.62, 57.84 and 32.23

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Solution

The fourth proportional to 38.62, 57.84 and 32.23 is: 48.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 57.84 = 32.23 : x
  2. Step 2: Convert to fraction form
    38.62/57.84 = 32.23/x
  3. Step 3: Cross multiply
    38.62x = 57.84 × 32.23
  4. Step 4: Simplify right side
    38.62x = 1,864.18
  5. Step 5: Solve for x
    x = 1,864.18/38.62
  6. Step 6: Final answer
    x = 48.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.