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Finding the Fourth Proportional to 37,100.40, 51,198.57 and 20,104.80

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Solution

The fourth proportional to 37,100.40, 51,198.57 and 20,104.80 is: 27,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.40 : 51,198.57 = 20,104.80 : x
  2. Step 2: Convert to fraction form
    37,100.40/51,198.57 = 20,104.80/x
  3. Step 3: Cross multiply
    37,100.40x = 51,198.57 × 20,104.80
  4. Step 4: Simplify right side
    37,100.40x = 1,029,337,010.14
  5. Step 5: Solve for x
    x = 1,029,337,010.14/37,100.40
  6. Step 6: Final answer
    x = 27,744.63

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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.