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Finding the Fourth Proportional to 34.82, 48.03 and 33.50

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Solution

The fourth proportional to 34.82, 48.03 and 33.50 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.82 : 48.03 = 33.50 : x
  2. Step 2: Convert to fraction form
    34.82/48.03 = 33.50/x
  3. Step 3: Cross multiply
    34.82x = 48.03 × 33.50
  4. Step 4: Simplify right side
    34.82x = 1,608.76
  5. Step 5: Solve for x
    x = 1,608.76/34.82
  6. Step 6: Final answer
    x = 46.21

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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.