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Finding the Fourth Proportional to 49,157.56, 67,843.19 and 27,940.01

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Solution

The fourth proportional to 49,157.56, 67,843.19 and 27,940.01 is: 38,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157.56 : 67,843.19 = 27,940.01 : x
  2. Step 2: Convert to fraction form
    49,157.56/67,843.19 = 27,940.01/x
  3. Step 3: Cross multiply
    49,157.56x = 67,843.19 × 27,940.01
  4. Step 4: Simplify right side
    49,157.56x = 1,895,539,267.33
  5. Step 5: Solve for x
    x = 1,895,539,267.33/49,157.56
  6. Step 6: Final answer
    x = 38,560.49

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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.