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Finding the Fourth Proportional to 32.38, 48.52 and 23.83

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Solution

The fourth proportional to 32.38, 48.52 and 23.83 is: 35.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.38 : 48.52 = 23.83 : x
  2. Step 2: Convert to fraction form
    32.38/48.52 = 23.83/x
  3. Step 3: Cross multiply
    32.38x = 48.52 × 23.83
  4. Step 4: Simplify right side
    32.38x = 1,156.14
  5. Step 5: Solve for x
    x = 1,156.14/32.38
  6. Step 6: Final answer
    x = 35.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.