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Finding the Fourth Proportional to 37,189.40, 55,759.32 and 13,493.87

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Solution

The fourth proportional to 37,189.40, 55,759.32 and 13,493.87 is: 20,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.40 : 55,759.32 = 13,493.87 : x
  2. Step 2: Convert to fraction form
    37,189.40/55,759.32 = 13,493.87/x
  3. Step 3: Cross multiply
    37,189.40x = 55,759.32 × 13,493.87
  4. Step 4: Simplify right side
    37,189.40x = 752,408,945.67
  5. Step 5: Solve for x
    x = 752,408,945.67/37,189.40
  6. Step 6: Final answer
    x = 20,231.81

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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.