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Finding the Fourth Proportional to 38,478.53, 57,727.02 and 12,183.27

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Solution

The fourth proportional to 38,478.53, 57,727.02 and 12,183.27 is: 18,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.53 : 57,727.02 = 12,183.27 : x
  2. Step 2: Convert to fraction form
    38,478.53/57,727.02 = 12,183.27/x
  3. Step 3: Cross multiply
    38,478.53x = 57,727.02 × 12,183.27
  4. Step 4: Simplify right side
    38,478.53x = 703,303,870.96
  5. Step 5: Solve for x
    x = 703,303,870.96/38,478.53
  6. Step 6: Final answer
    x = 18,277.83

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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.