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Finding the Fourth Proportional to 49,158.18, 67,844.07 and 27,940.68

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Solution

The fourth proportional to 49,158.18, 67,844.07 and 27,940.68 is: 38,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158.18 : 67,844.07 = 27,940.68 : x
  2. Step 2: Convert to fraction form
    49,158.18/67,844.07 = 27,940.68/x
  3. Step 3: Cross multiply
    49,158.18x = 67,844.07 × 27,940.68
  4. Step 4: Simplify right side
    49,158.18x = 1,895,609,449.77
  5. Step 5: Solve for x
    x = 1,895,609,449.77/49,158.18
  6. Step 6: Final answer
    x = 38,561.42

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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.