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Finding the Fourth Proportional to 34.62, 47.38 and 34.38

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Solution

The fourth proportional to 34.62, 47.38 and 34.38 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.62 : 47.38 = 34.38 : x
  2. Step 2: Convert to fraction form
    34.62/47.38 = 34.38/x
  3. Step 3: Cross multiply
    34.62x = 47.38 × 34.38
  4. Step 4: Simplify right side
    34.62x = 1,628.92
  5. Step 5: Solve for x
    x = 1,628.92/34.62
  6. Step 6: Final answer
    x = 47.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.