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Finding the Fourth Proportional to 49,422.89, 68,202.11 and 27,913.50

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Solution

The fourth proportional to 49,422.89, 68,202.11 and 27,913.50 is: 38,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,422.89 : 68,202.11 = 27,913.50 : x
  2. Step 2: Convert to fraction form
    49,422.89/68,202.11 = 27,913.50/x
  3. Step 3: Cross multiply
    49,422.89x = 68,202.11 × 27,913.50
  4. Step 4: Simplify right side
    49,422.89x = 1,903,759,667.27
  5. Step 5: Solve for x
    x = 1,903,759,667.27/49,422.89
  6. Step 6: Final answer
    x = 38,519.79

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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.