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Finding the Fourth Proportional to 34,679.49, 47,906.69 and 27,596.85

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Solution

The fourth proportional to 34,679.49, 47,906.69 and 27,596.85 is: 38,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,679.49 : 47,906.69 = 27,596.85 : x
  2. Step 2: Convert to fraction form
    34,679.49/47,906.69 = 27,596.85/x
  3. Step 3: Cross multiply
    34,679.49x = 47,906.69 × 27,596.85
  4. Step 4: Simplify right side
    34,679.49x = 1,322,073,737.93
  5. Step 5: Solve for x
    x = 1,322,073,737.93/34,679.49
  6. Step 6: Final answer
    x = 38,122.64

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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.