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Finding the Fourth Proportional to 37,668, 51,982.16 and 20,900.96

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Solution

The fourth proportional to 37,668, 51,982.16 and 20,900.96 is: 28,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 51,982.16 = 20,900.96 : x
  2. Step 2: Convert to fraction form
    37,668/51,982.16 = 20,900.96/x
  3. Step 3: Cross multiply
    37,668x = 51,982.16 × 20,900.96
  4. Step 4: Simplify right side
    37,668x = 1,086,477,046.87
  5. Step 5: Solve for x
    x = 1,086,477,046.87/37,668
  6. Step 6: Final answer
    x = 28,843.50

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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.