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Finding the Fourth Proportional to 84,286.86, 126,385.35 and 36,846.42

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Solution

The fourth proportional to 84,286.86, 126,385.35 and 36,846.42 is: 55,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.86 : 126,385.35 = 36,846.42 : x
  2. Step 2: Convert to fraction form
    84,286.86/126,385.35 = 36,846.42/x
  3. Step 3: Cross multiply
    84,286.86x = 126,385.35 × 36,846.42
  4. Step 4: Simplify right side
    84,286.86x = 4,656,847,687.95
  5. Step 5: Solve for x
    x = 4,656,847,687.95/84,286.86
  6. Step 6: Final answer
    x = 55,249.98

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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.