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Finding the Fourth Proportional to 80,578.96, 120,826.93 and 36,167.66

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Solution

The fourth proportional to 80,578.96, 120,826.93 and 36,167.66 is: 54,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578.96 : 120,826.93 = 36,167.66 : x
  2. Step 2: Convert to fraction form
    80,578.96/120,826.93 = 36,167.66/x
  3. Step 3: Cross multiply
    80,578.96x = 120,826.93 × 36,167.66
  4. Step 4: Simplify right side
    80,578.96x = 4,370,027,323.08
  5. Step 5: Solve for x
    x = 4,370,027,323.08/80,578.96
  6. Step 6: Final answer
    x = 54,232.86

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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.