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Finding the Fourth Proportional to 30,906.81, 46,379.24 and 12,183.66

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Solution

The fourth proportional to 30,906.81, 46,379.24 and 12,183.66 is: 18,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.81 : 46,379.24 = 12,183.66 : x
  2. Step 2: Convert to fraction form
    30,906.81/46,379.24 = 12,183.66/x
  3. Step 3: Cross multiply
    30,906.81x = 46,379.24 × 12,183.66
  4. Step 4: Simplify right side
    30,906.81x = 565,068,689.78
  5. Step 5: Solve for x
    x = 565,068,689.78/30,906.81
  6. Step 6: Final answer
    x = 18,282.99

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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.