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Finding the Fourth Proportional to 104,907.64, 157,383.89 and 33,834.33

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Solution

The fourth proportional to 104,907.64, 157,383.89 and 33,834.33 is: 50,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,907.64 : 157,383.89 = 33,834.33 : x
  2. Step 2: Convert to fraction form
    104,907.64/157,383.89 = 33,834.33/x
  3. Step 3: Cross multiply
    104,907.64x = 157,383.89 × 33,834.33
  4. Step 4: Simplify right side
    104,907.64x = 5,324,978,470.94
  5. Step 5: Solve for x
    x = 5,324,978,470.94/104,907.64
  6. Step 6: Final answer
    x = 50,758.73

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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.