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Finding the Fourth Proportional to 84,238.48, 116,198.76 and 50,698

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Solution

The fourth proportional to 84,238.48, 116,198.76 and 50,698 is: 69,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,238.48 : 116,198.76 = 50,698 : x
  2. Step 2: Convert to fraction form
    84,238.48/116,198.76 = 50,698/x
  3. Step 3: Cross multiply
    84,238.48x = 116,198.76 × 50,698
  4. Step 4: Simplify right side
    84,238.48x = 5,891,044,734.48
  5. Step 5: Solve for x
    x = 5,891,044,734.48/84,238.48
  6. Step 6: Final answer
    x = 69,932.94

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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.