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Finding the Fourth Proportional to 31,735.80, 43,780.68 and 22,309.92

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Solution

The fourth proportional to 31,735.80, 43,780.68 and 22,309.92 is: 30,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.80 : 43,780.68 = 22,309.92 : x
  2. Step 2: Convert to fraction form
    31,735.80/43,780.68 = 22,309.92/x
  3. Step 3: Cross multiply
    31,735.80x = 43,780.68 × 22,309.92
  4. Step 4: Simplify right side
    31,735.80x = 976,743,468.35
  5. Step 5: Solve for x
    x = 976,743,468.35/31,735.80
  6. Step 6: Final answer
    x = 30,777.34

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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.