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Finding the Fourth Proportional to 47,906.28, 66,096.03 and 27,759.27

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Solution

The fourth proportional to 47,906.28, 66,096.03 and 27,759.27 is: 38,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.28 : 66,096.03 = 27,759.27 : x
  2. Step 2: Convert to fraction form
    47,906.28/66,096.03 = 27,759.27/x
  3. Step 3: Cross multiply
    47,906.28x = 66,096.03 × 27,759.27
  4. Step 4: Simplify right side
    47,906.28x = 1,834,777,705.74
  5. Step 5: Solve for x
    x = 1,834,777,705.74/47,906.28
  6. Step 6: Final answer
    x = 38,299.31

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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.