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Finding the Fourth Proportional to 32,097.26, 48,149.22 and 8,408.54

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Solution

The fourth proportional to 32,097.26, 48,149.22 and 8,408.54 is: 12,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.26 : 48,149.22 = 8,408.54 : x
  2. Step 2: Convert to fraction form
    32,097.26/48,149.22 = 8,408.54/x
  3. Step 3: Cross multiply
    32,097.26x = 48,149.22 × 8,408.54
  4. Step 4: Simplify right side
    32,097.26x = 404,864,642.34
  5. Step 5: Solve for x
    x = 404,864,642.34/32,097.26
  6. Step 6: Final answer
    x = 12,613.68

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1.5x scale

Why These Related Problems?

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