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Finding the Fourth Proportional to 49,883.74, 68,837.23 and 27,223.67

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Solution

The fourth proportional to 49,883.74, 68,837.23 and 27,223.67 is: 37,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883.74 : 68,837.23 = 27,223.67 : x
  2. Step 2: Convert to fraction form
    49,883.74/68,837.23 = 27,223.67/x
  3. Step 3: Cross multiply
    49,883.74x = 68,837.23 × 27,223.67
  4. Step 4: Simplify right side
    49,883.74x = 1,874,002,033.23
  5. Step 5: Solve for x
    x = 1,874,002,033.23/49,883.74
  6. Step 6: Final answer
    x = 37,567.39

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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.