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Finding the Fourth Proportional to 49.57, 73.81 and 48.84

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Solution

The fourth proportional to 49.57, 73.81 and 48.84 is: 72.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.57 : 73.81 = 48.84 : x
  2. Step 2: Convert to fraction form
    49.57/73.81 = 48.84/x
  3. Step 3: Cross multiply
    49.57x = 73.81 × 48.84
  4. Step 4: Simplify right side
    49.57x = 3,604.76
  5. Step 5: Solve for x
    x = 3,604.76/49.57
  6. Step 6: Final answer
    x = 72.72

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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.