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Finding the Fourth Proportional to 43,906.32, 65,847.60 and 12,314.64

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Solution

The fourth proportional to 43,906.32, 65,847.60 and 12,314.64 is: 18,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,906.32 : 65,847.60 = 12,314.64 : x
  2. Step 2: Convert to fraction form
    43,906.32/65,847.60 = 12,314.64/x
  3. Step 3: Cross multiply
    43,906.32x = 65,847.60 × 12,314.64
  4. Step 4: Simplify right side
    43,906.32x = 810,889,488.86
  5. Step 5: Solve for x
    x = 810,889,488.86/43,906.32
  6. Step 6: Final answer
    x = 18,468.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.