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Finding the Fourth Proportional to 34.62, 47.84 and 27.40

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Solution

The fourth proportional to 34.62, 47.84 and 27.40 is: 37.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.62 : 47.84 = 27.40 : x
  2. Step 2: Convert to fraction form
    34.62/47.84 = 27.40/x
  3. Step 3: Cross multiply
    34.62x = 47.84 × 27.40
  4. Step 4: Simplify right side
    34.62x = 1,310.56
  5. Step 5: Solve for x
    x = 1,310.56/34.62
  6. Step 6: Final answer
    x = 37.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.