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Finding the Fourth Proportional to 37,282.25, 55,906.10 and 13,902.41

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Solution

The fourth proportional to 37,282.25, 55,906.10 and 13,902.41 is: 20,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282.25 : 55,906.10 = 13,902.41 : x
  2. Step 2: Convert to fraction form
    37,282.25/55,906.10 = 13,902.41/x
  3. Step 3: Cross multiply
    37,282.25x = 55,906.10 × 13,902.41
  4. Step 4: Simplify right side
    37,282.25x = 777,229,523.70
  5. Step 5: Solve for x
    x = 777,229,523.70/37,282.25
  6. Step 6: Final answer
    x = 20,847.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.