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Finding the Fourth Proportional to 36,299.52, 54,487.44 and 32,166

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Solution

The fourth proportional to 36,299.52, 54,487.44 and 32,166 is: 48,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299.52 : 54,487.44 = 32,166 : x
  2. Step 2: Convert to fraction form
    36,299.52/54,487.44 = 32,166/x
  3. Step 3: Cross multiply
    36,299.52x = 54,487.44 × 32,166
  4. Step 4: Simplify right side
    36,299.52x = 1,752,642,995.04
  5. Step 5: Solve for x
    x = 1,752,642,995.04/36,299.52
  6. Step 6: Final answer
    x = 48,282.81

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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.