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Finding the Fourth Proportional to 33.82, 47.00 and 33.45

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Solution

The fourth proportional to 33.82, 47.00 and 33.45 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 47.00 = 33.45 : x
  2. Step 2: Convert to fraction form
    33.82/47.00 = 33.45/x
  3. Step 3: Cross multiply
    33.82x = 47.00 × 33.45
  4. Step 4: Simplify right side
    33.82x = 1,571.87
  5. Step 5: Solve for x
    x = 1,571.87/33.82
  6. Step 6: Final answer
    x = 46.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.