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Finding the Fourth Proportional to 43,867.97, 65,794.96 and 12,274.63

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Solution

The fourth proportional to 43,867.97, 65,794.96 and 12,274.63 is: 18,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,867.97 : 65,794.96 = 12,274.63 : x
  2. Step 2: Convert to fraction form
    43,867.97/65,794.96 = 12,274.63/x
  3. Step 3: Cross multiply
    43,867.97x = 65,794.96 × 12,274.63
  4. Step 4: Simplify right side
    43,867.97x = 807,608,789.86
  5. Step 5: Solve for x
    x = 807,608,789.86/43,867.97
  6. Step 6: Final answer
    x = 18,409.99

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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.