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Finding the Fourth Proportional to 84,033.98, 115,965.40 and 45,793.86

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Solution

The fourth proportional to 84,033.98, 115,965.40 and 45,793.86 is: 63,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033.98 : 115,965.40 = 45,793.86 : x
  2. Step 2: Convert to fraction form
    84,033.98/115,965.40 = 45,793.86/x
  3. Step 3: Cross multiply
    84,033.98x = 115,965.40 × 45,793.86
  4. Step 4: Simplify right side
    84,033.98x = 5,310,503,292.44
  5. Step 5: Solve for x
    x = 5,310,503,292.44/84,033.98
  6. Step 6: Final answer
    x = 63,194.71

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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.