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Finding the Fourth Proportional to 49.62, 68.50 and 34.09

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Solution

The fourth proportional to 49.62, 68.50 and 34.09 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.62 : 68.50 = 34.09 : x
  2. Step 2: Convert to fraction form
    49.62/68.50 = 34.09/x
  3. Step 3: Cross multiply
    49.62x = 68.50 × 34.09
  4. Step 4: Simplify right side
    49.62x = 2,335.23
  5. Step 5: Solve for x
    x = 2,335.23/49.62
  6. Step 6: Final answer
    x = 47.06

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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.