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Finding the Fourth Proportional to 31,019.56, 42,806.48 and 17,221.42

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Solution

The fourth proportional to 31,019.56, 42,806.48 and 17,221.42 is: 23,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.56 : 42,806.48 = 17,221.42 : x
  2. Step 2: Convert to fraction form
    31,019.56/42,806.48 = 17,221.42/x
  3. Step 3: Cross multiply
    31,019.56x = 42,806.48 × 17,221.42
  4. Step 4: Simplify right side
    31,019.56x = 737,188,370.80
  5. Step 5: Solve for x
    x = 737,188,370.80/31,019.56
  6. Step 6: Final answer
    x = 23,765.27

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