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Finding the Fourth Proportional to 34, 46.62 and 32.17

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Solution

The fourth proportional to 34, 46.62 and 32.17 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 46.62 = 32.17 : x
  2. Step 2: Convert to fraction form
    34/46.62 = 32.17/x
  3. Step 3: Cross multiply
    34x = 46.62 × 32.17
  4. Step 4: Simplify right side
    34x = 1,499.77
  5. Step 5: Solve for x
    x = 1,499.77/34
  6. Step 6: Final answer
    x = 44.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.