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Finding the Fourth Proportional to 43,932.84, 65,891.22 and 11,912.52

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Solution

The fourth proportional to 43,932.84, 65,891.22 and 11,912.52 is: 17,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,932.84 : 65,891.22 = 11,912.52 : x
  2. Step 2: Convert to fraction form
    43,932.84/65,891.22 = 11,912.52/x
  3. Step 3: Cross multiply
    43,932.84x = 65,891.22 × 11,912.52
  4. Step 4: Simplify right side
    43,932.84x = 784,930,476.07
  5. Step 5: Solve for x
    x = 784,930,476.07/43,932.84
  6. Step 6: Final answer
    x = 17,866.60

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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.