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Finding the Fourth Proportional to 80,002.34, 120,078.84 and 40,587.74

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Solution

The fourth proportional to 80,002.34, 120,078.84 and 40,587.74 is: 60,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,002.34 : 120,078.84 = 40,587.74 : x
  2. Step 2: Convert to fraction form
    80,002.34/120,078.84 = 40,587.74/x
  3. Step 3: Cross multiply
    80,002.34x = 120,078.84 × 40,587.74
  4. Step 4: Simplify right side
    80,002.34x = 4,873,728,737.42
  5. Step 5: Solve for x
    x = 4,873,728,737.42/80,002.34
  6. Step 6: Final answer
    x = 60,919.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.