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Finding the Fourth Proportional to 167,896.70, 251,891.04 and 49,568

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Solution

The fourth proportional to 167,896.70, 251,891.04 and 49,568 is: 74,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,896.70 : 251,891.04 = 49,568 : x
  2. Step 2: Convert to fraction form
    167,896.70/251,891.04 = 49,568/x
  3. Step 3: Cross multiply
    167,896.70x = 251,891.04 × 49,568
  4. Step 4: Simplify right side
    167,896.70x = 12,485,735,070.72
  5. Step 5: Solve for x
    x = 12,485,735,070.72/167,896.70
  6. Step 6: Final answer
    x = 74,365.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.