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Finding the Fourth Proportional to 49.76, 68.64 and 32.52

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Solution

The fourth proportional to 49.76, 68.64 and 32.52 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 68.64 = 32.52 : x
  2. Step 2: Convert to fraction form
    49.76/68.64 = 32.52/x
  3. Step 3: Cross multiply
    49.76x = 68.64 × 32.52
  4. Step 4: Simplify right side
    49.76x = 2,232.17
  5. Step 5: Solve for x
    x = 2,232.17/49.76
  6. Step 6: Final answer
    x = 44.86

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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.