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Finding the Fourth Proportional to 32,198.40, 48,292.13 and 8,506.21

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Solution

The fourth proportional to 32,198.40, 48,292.13 and 8,506.21 is: 12,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.40 : 48,292.13 = 8,506.21 : x
  2. Step 2: Convert to fraction form
    32,198.40/48,292.13 = 8,506.21/x
  3. Step 3: Cross multiply
    32,198.40x = 48,292.13 × 8,506.21
  4. Step 4: Simplify right side
    32,198.40x = 410,782,899.66
  5. Step 5: Solve for x
    x = 410,782,899.66/32,198.40
  6. Step 6: Final answer
    x = 12,757.87

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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.