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Finding the Fourth Proportional to 37,189.82, 51,321.91 and 20,422.82

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Solution

The fourth proportional to 37,189.82, 51,321.91 and 20,422.82 is: 28,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.82 : 51,321.91 = 20,422.82 : x
  2. Step 2: Convert to fraction form
    37,189.82/51,321.91 = 20,422.82/x
  3. Step 3: Cross multiply
    37,189.82x = 51,321.91 × 20,422.82
  4. Step 4: Simplify right side
    37,189.82x = 1,048,138,129.99
  5. Step 5: Solve for x
    x = 1,048,138,129.99/37,189.82
  6. Step 6: Final answer
    x = 28,183.47

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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.