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Finding the Fourth Proportional to 49.76, 73.84 and 49.36

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Solution

The fourth proportional to 49.76, 73.84 and 49.36 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 73.84 = 49.36 : x
  2. Step 2: Convert to fraction form
    49.76/73.84 = 49.36/x
  3. Step 3: Cross multiply
    49.76x = 73.84 × 49.36
  4. Step 4: Simplify right side
    49.76x = 3,644.74
  5. Step 5: Solve for x
    x = 3,644.74/49.76
  6. Step 6: Final answer
    x = 73.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.