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Finding the Fourth Proportional to 31,782, 43,859.12 and 17,441.92

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Solution

The fourth proportional to 31,782, 43,859.12 and 17,441.92 is: 24,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 43,859.12 = 17,441.92 : x
  2. Step 2: Convert to fraction form
    31,782/43,859.12 = 17,441.92/x
  3. Step 3: Cross multiply
    31,782x = 43,859.12 × 17,441.92
  4. Step 4: Simplify right side
    31,782x = 764,987,262.31
  5. Step 5: Solve for x
    x = 764,987,262.31/31,782
  6. Step 6: Final answer
    x = 24,069.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.