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Finding the Fourth Proportional to 32,174.67, 48,268.07 and 12,190.15

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Solution

The fourth proportional to 32,174.67, 48,268.07 and 12,190.15 is: 18,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.67 : 48,268.07 = 12,190.15 : x
  2. Step 2: Convert to fraction form
    32,174.67/48,268.07 = 12,190.15/x
  3. Step 3: Cross multiply
    32,174.67x = 48,268.07 × 12,190.15
  4. Step 4: Simplify right side
    32,174.67x = 588,394,952.56
  5. Step 5: Solve for x
    x = 588,394,952.56/32,174.67
  6. Step 6: Final answer
    x = 18,287.52

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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.