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Finding the Fourth Proportional to 31,794.12, 43,871.22 and 17,647.08

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Solution

The fourth proportional to 31,794.12, 43,871.22 and 17,647.08 is: 24,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.12 : 43,871.22 = 17,647.08 : x
  2. Step 2: Convert to fraction form
    31,794.12/43,871.22 = 17,647.08/x
  3. Step 3: Cross multiply
    31,794.12x = 43,871.22 × 17,647.08
  4. Step 4: Simplify right side
    31,794.12x = 774,198,929.04
  5. Step 5: Solve for x
    x = 774,198,929.04/31,794.12
  6. Step 6: Final answer
    x = 24,350.38

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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.