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Finding the Fourth Proportional to 84,093.23, 116,076.78 and 50,112.38

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Solution

The fourth proportional to 84,093.23, 116,076.78 and 50,112.38 is: 69,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.23 : 116,076.78 = 50,112.38 : x
  2. Step 2: Convert to fraction form
    84,093.23/116,076.78 = 50,112.38/x
  3. Step 3: Cross multiply
    84,093.23x = 116,076.78 × 50,112.38
  4. Step 4: Simplify right side
    84,093.23x = 5,816,883,708.54
  5. Step 5: Solve for x
    x = 5,816,883,708.54/84,093.23
  6. Step 6: Final answer
    x = 69,171.84

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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.