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Finding the Fourth Proportional to 32,408.78, 48,613.18 and 10,224.41

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Solution

The fourth proportional to 32,408.78, 48,613.18 and 10,224.41 is: 15,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.78 : 48,613.18 = 10,224.41 : x
  2. Step 2: Convert to fraction form
    32,408.78/48,613.18 = 10,224.41/x
  3. Step 3: Cross multiply
    32,408.78x = 48,613.18 × 10,224.41
  4. Step 4: Simplify right side
    32,408.78x = 497,040,815.10
  5. Step 5: Solve for x
    x = 497,040,815.10/32,408.78
  6. Step 6: Final answer
    x = 15,336.61

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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.