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Finding the Fourth Proportional to 49,334.48, 68,082.12 and 26,978

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Solution

The fourth proportional to 49,334.48, 68,082.12 and 26,978 is: 37,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,334.48 : 68,082.12 = 26,978 : x
  2. Step 2: Convert to fraction form
    49,334.48/68,082.12 = 26,978/x
  3. Step 3: Cross multiply
    49,334.48x = 68,082.12 × 26,978
  4. Step 4: Simplify right side
    49,334.48x = 1,836,719,433.36
  5. Step 5: Solve for x
    x = 1,836,719,433.36/49,334.48
  6. Step 6: Final answer
    x = 37,229.93

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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.