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Finding the Fourth Proportional to 32,207.23, 48,318.03 and 13,231.87

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Solution

The fourth proportional to 32,207.23, 48,318.03 and 13,231.87 is: 19,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.23 : 48,318.03 = 13,231.87 : x
  2. Step 2: Convert to fraction form
    32,207.23/48,318.03 = 13,231.87/x
  3. Step 3: Cross multiply
    32,207.23x = 48,318.03 × 13,231.87
  4. Step 4: Simplify right side
    32,207.23x = 639,337,891.62
  5. Step 5: Solve for x
    x = 639,337,891.62/32,207.23
  6. Step 6: Final answer
    x = 19,850.76

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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.