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Finding the Fourth Proportional to 49.71, 74.61 and 31.71

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Solution

The fourth proportional to 49.71, 74.61 and 31.71 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.71 : 74.61 = 31.71 : x
  2. Step 2: Convert to fraction form
    49.71/74.61 = 31.71/x
  3. Step 3: Cross multiply
    49.71x = 74.61 × 31.71
  4. Step 4: Simplify right side
    49.71x = 2,365.88
  5. Step 5: Solve for x
    x = 2,365.88/49.71
  6. Step 6: Final answer
    x = 47.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.