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Finding the Fourth Proportional to 32,231.48, 48,327.32 and 11,166.62

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Solution

The fourth proportional to 32,231.48, 48,327.32 and 11,166.62 is: 16,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.48 : 48,327.32 = 11,166.62 : x
  2. Step 2: Convert to fraction form
    32,231.48/48,327.32 = 11,166.62/x
  3. Step 3: Cross multiply
    32,231.48x = 48,327.32 × 11,166.62
  4. Step 4: Simplify right side
    32,231.48x = 539,652,520.59
  5. Step 5: Solve for x
    x = 539,652,520.59/32,231.48
  6. Step 6: Final answer
    x = 16,743.03

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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.