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Finding the Fourth Proportional to 36,814.84, 55,202.82 and 16,027

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Solution

The fourth proportional to 36,814.84, 55,202.82 and 16,027 is: 24,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814.84 : 55,202.82 = 16,027 : x
  2. Step 2: Convert to fraction form
    36,814.84/55,202.82 = 16,027/x
  3. Step 3: Cross multiply
    36,814.84x = 55,202.82 × 16,027
  4. Step 4: Simplify right side
    36,814.84x = 884,735,596.14
  5. Step 5: Solve for x
    x = 884,735,596.14/36,814.84
  6. Step 6: Final answer
    x = 24,032.04

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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.