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Finding the Fourth Proportional to 49.67, 74.78 and 36.24

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Solution

The fourth proportional to 49.67, 74.78 and 36.24 is: 54.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.67 : 74.78 = 36.24 : x
  2. Step 2: Convert to fraction form
    49.67/74.78 = 36.24/x
  3. Step 3: Cross multiply
    49.67x = 74.78 × 36.24
  4. Step 4: Simplify right side
    49.67x = 2,710.03
  5. Step 5: Solve for x
    x = 2,710.03/49.67
  6. Step 6: Final answer
    x = 54.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.