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Finding the Fourth Proportional to 49.92, 68.76 and 44.49

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Solution

The fourth proportional to 49.92, 68.76 and 44.49 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 68.76 = 44.49 : x
  2. Step 2: Convert to fraction form
    49.92/68.76 = 44.49/x
  3. Step 3: Cross multiply
    49.92x = 68.76 × 44.49
  4. Step 4: Simplify right side
    49.92x = 3,059.13
  5. Step 5: Solve for x
    x = 3,059.13/49.92
  6. Step 6: Final answer
    x = 61.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.