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Finding the Fourth Proportional to 32,234.66, 48,351.92 and 18,188.31

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Solution

The fourth proportional to 32,234.66, 48,351.92 and 18,188.31 is: 27,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.66 : 48,351.92 = 18,188.31 : x
  2. Step 2: Convert to fraction form
    32,234.66/48,351.92 = 18,188.31/x
  3. Step 3: Cross multiply
    32,234.66x = 48,351.92 × 18,188.31
  4. Step 4: Simplify right side
    32,234.66x = 879,439,619.11
  5. Step 5: Solve for x
    x = 879,439,619.11/32,234.66
  6. Step 6: Final answer
    x = 27,282.43

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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.