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Finding the Fourth Proportional to 37,616.38, 51,910.60 and 20,849.38

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Solution

The fourth proportional to 37,616.38, 51,910.60 and 20,849.38 is: 28,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.38 : 51,910.60 = 20,849.38 : x
  2. Step 2: Convert to fraction form
    37,616.38/51,910.60 = 20,849.38/x
  3. Step 3: Cross multiply
    37,616.38x = 51,910.60 × 20,849.38
  4. Step 4: Simplify right side
    37,616.38x = 1,082,303,825.43
  5. Step 5: Solve for x
    x = 1,082,303,825.43/37,616.38
  6. Step 6: Final answer
    x = 28,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.