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Finding the Fourth Proportional to 34.37, 47.74 and 33.82

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Solution

The fourth proportional to 34.37, 47.74 and 33.82 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.37 : 47.74 = 33.82 : x
  2. Step 2: Convert to fraction form
    34.37/47.74 = 33.82/x
  3. Step 3: Cross multiply
    34.37x = 47.74 × 33.82
  4. Step 4: Simplify right side
    34.37x = 1,614.43
  5. Step 5: Solve for x
    x = 1,614.43/34.37
  6. Step 6: Final answer
    x = 46.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.