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Finding the Fourth Proportional to 49.35, 73.72 and 41.76

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Solution

The fourth proportional to 49.35, 73.72 and 41.76 is: 62.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.35 : 73.72 = 41.76 : x
  2. Step 2: Convert to fraction form
    49.35/73.72 = 41.76/x
  3. Step 3: Cross multiply
    49.35x = 73.72 × 41.76
  4. Step 4: Simplify right side
    49.35x = 3,078.44
  5. Step 5: Solve for x
    x = 3,078.44/49.35
  6. Step 6: Final answer
    x = 62.38

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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.