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Finding the Fourth Proportional to 49.27, 67.99 and 34.50

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Solution

The fourth proportional to 49.27, 67.99 and 34.50 is: 47.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.27 : 67.99 = 34.50 : x
  2. Step 2: Convert to fraction form
    49.27/67.99 = 34.50/x
  3. Step 3: Cross multiply
    49.27x = 67.99 × 34.50
  4. Step 4: Simplify right side
    49.27x = 2,345.66
  5. Step 5: Solve for x
    x = 2,345.66/49.27
  6. Step 6: Final answer
    x = 47.61

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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.