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Finding the Fourth Proportional to 37,074.98, 51,163.22 and 20,078.84

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Solution

The fourth proportional to 37,074.98, 51,163.22 and 20,078.84 is: 27,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074.98 : 51,163.22 = 20,078.84 : x
  2. Step 2: Convert to fraction form
    37,074.98/51,163.22 = 20,078.84/x
  3. Step 3: Cross multiply
    37,074.98x = 51,163.22 × 20,078.84
  4. Step 4: Simplify right side
    37,074.98x = 1,027,298,286.37
  5. Step 5: Solve for x
    x = 1,027,298,286.37/37,074.98
  6. Step 6: Final answer
    x = 27,708.67

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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.