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Finding the Fourth Proportional to 32,327.34, 48,490.84 and 8,311.61

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Solution

The fourth proportional to 32,327.34, 48,490.84 and 8,311.61 is: 12,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.34 : 48,490.84 = 8,311.61 : x
  2. Step 2: Convert to fraction form
    32,327.34/48,490.84 = 8,311.61/x
  3. Step 3: Cross multiply
    32,327.34x = 48,490.84 × 8,311.61
  4. Step 4: Simplify right side
    32,327.34x = 403,036,909.09
  5. Step 5: Solve for x
    x = 403,036,909.09/32,327.34
  6. Step 6: Final answer
    x = 12,467.37

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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.