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Finding the Fourth Proportional to 84,198.20, 116,194.48 and 46,472.48

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Solution

The fourth proportional to 84,198.20, 116,194.48 and 46,472.48 is: 64,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.20 : 116,194.48 = 46,472.48 : x
  2. Step 2: Convert to fraction form
    84,198.20/116,194.48 = 46,472.48/x
  3. Step 3: Cross multiply
    84,198.20x = 116,194.48 × 46,472.48
  4. Step 4: Simplify right side
    84,198.20x = 5,399,845,647.91
  5. Step 5: Solve for x
    x = 5,399,845,647.91/84,198.20
  6. Step 6: Final answer
    x = 64,132.55

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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.