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Finding the Fourth Proportional to 37,082.85, 51,174.38 and 20,087.28

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Solution

The fourth proportional to 37,082.85, 51,174.38 and 20,087.28 is: 27,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082.85 : 51,174.38 = 20,087.28 : x
  2. Step 2: Convert to fraction form
    37,082.85/51,174.38 = 20,087.28/x
  3. Step 3: Cross multiply
    37,082.85x = 51,174.38 × 20,087.28
  4. Step 4: Simplify right side
    37,082.85x = 1,027,954,099.89
  5. Step 5: Solve for x
    x = 1,027,954,099.89/37,082.85
  6. Step 6: Final answer
    x = 27,720.47

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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.