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Finding the Fourth Proportional to 37,616, 51,910.17 and 20,849

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Solution

The fourth proportional to 37,616, 51,910.17 and 20,849 is: 28,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616 : 51,910.17 = 20,849 : x
  2. Step 2: Convert to fraction form
    37,616/51,910.17 = 20,849/x
  3. Step 3: Cross multiply
    37,616x = 51,910.17 × 20,849
  4. Step 4: Simplify right side
    37,616x = 1,082,275,134.33
  5. Step 5: Solve for x
    x = 1,082,275,134.33/37,616
  6. Step 6: Final answer
    x = 28,771.67

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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.