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Finding the Fourth Proportional to 55,467.96, 83,183.70 and 27,747

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Solution

The fourth proportional to 55,467.96, 83,183.70 and 27,747 is: 41,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,467.96 : 83,183.70 = 27,747 : x
  2. Step 2: Convert to fraction form
    55,467.96/83,183.70 = 27,747/x
  3. Step 3: Cross multiply
    55,467.96x = 83,183.70 × 27,747
  4. Step 4: Simplify right side
    55,467.96x = 2,308,098,123.90
  5. Step 5: Solve for x
    x = 2,308,098,123.90/55,467.96
  6. Step 6: Final answer
    x = 41,611.38

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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.