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Finding the Fourth Proportional to 49.63, 73.97 and 48.28

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Solution

The fourth proportional to 49.63, 73.97 and 48.28 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.63 : 73.97 = 48.28 : x
  2. Step 2: Convert to fraction form
    49.63/73.97 = 48.28/x
  3. Step 3: Cross multiply
    49.63x = 73.97 × 48.28
  4. Step 4: Simplify right side
    49.63x = 3,571.27
  5. Step 5: Solve for x
    x = 3,571.27/49.63
  6. Step 6: Final answer
    x = 71.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.