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Finding the Fourth Proportional to 49.62, 74.34 and 36.78

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Solution

The fourth proportional to 49.62, 74.34 and 36.78 is: 55.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.62 : 74.34 = 36.78 : x
  2. Step 2: Convert to fraction form
    49.62/74.34 = 36.78/x
  3. Step 3: Cross multiply
    49.62x = 74.34 × 36.78
  4. Step 4: Simplify right side
    49.62x = 2,734.23
  5. Step 5: Solve for x
    x = 2,734.23/49.62
  6. Step 6: Final answer
    x = 55.10

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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.