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Finding the Fourth Proportional to 37,100.80, 51,199 and 20,105.52

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Solution

The fourth proportional to 37,100.80, 51,199 and 20,105.52 is: 27,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.80 : 51,199 = 20,105.52 : x
  2. Step 2: Convert to fraction form
    37,100.80/51,199 = 20,105.52/x
  3. Step 3: Cross multiply
    37,100.80x = 51,199 × 20,105.52
  4. Step 4: Simplify right side
    37,100.80x = 1,029,382,518.48
  5. Step 5: Solve for x
    x = 1,029,382,518.48/37,100.80
  6. Step 6: Final answer
    x = 27,745.56

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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.