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Finding the Fourth Proportional to 32,279.38, 48,408.17 and 12,284.12

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Solution

The fourth proportional to 32,279.38, 48,408.17 and 12,284.12 is: 18,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279.38 : 48,408.17 = 12,284.12 : x
  2. Step 2: Convert to fraction form
    32,279.38/48,408.17 = 12,284.12/x
  3. Step 3: Cross multiply
    32,279.38x = 48,408.17 × 12,284.12
  4. Step 4: Simplify right side
    32,279.38x = 594,651,769.26
  5. Step 5: Solve for x
    x = 594,651,769.26/32,279.38
  6. Step 6: Final answer
    x = 18,422.03

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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.