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Finding the Fourth Proportional to 49,164.69, 67,846.64 and 27,942.56

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Solution

The fourth proportional to 49,164.69, 67,846.64 and 27,942.56 is: 38,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.69 : 67,846.64 = 27,942.56 : x
  2. Step 2: Convert to fraction form
    49,164.69/67,846.64 = 27,942.56/x
  3. Step 3: Cross multiply
    49,164.69x = 67,846.64 × 27,942.56
  4. Step 4: Simplify right side
    49,164.69x = 1,895,808,809.00
  5. Step 5: Solve for x
    x = 1,895,808,809.00/49,164.69
  6. Step 6: Final answer
    x = 38,560.37

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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.