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Finding the Fourth Proportional to 49,716.74, 68,609.82 and 27,056.38

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Solution

The fourth proportional to 49,716.74, 68,609.82 and 27,056.38 is: 37,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716.74 : 68,609.82 = 27,056.38 : x
  2. Step 2: Convert to fraction form
    49,716.74/68,609.82 = 27,056.38/x
  3. Step 3: Cross multiply
    49,716.74x = 68,609.82 × 27,056.38
  4. Step 4: Simplify right side
    49,716.74x = 1,856,333,361.65
  5. Step 5: Solve for x
    x = 1,856,333,361.65/49,716.74
  6. Step 6: Final answer
    x = 37,338.20

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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.