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Finding the Fourth Proportional to 49.58, 74.37 and 38.78

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Solution

The fourth proportional to 49.58, 74.37 and 38.78 is: 58.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.58 : 74.37 = 38.78 : x
  2. Step 2: Convert to fraction form
    49.58/74.37 = 38.78/x
  3. Step 3: Cross multiply
    49.58x = 74.37 × 38.78
  4. Step 4: Simplify right side
    49.58x = 2,883.70
  5. Step 5: Solve for x
    x = 2,883.70/49.58
  6. Step 6: Final answer
    x = 58.17

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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.