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Finding the Fourth Proportional to 80,305.10, 120,457.74 and 24,145.20

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Solution

The fourth proportional to 80,305.10, 120,457.74 and 24,145.20 is: 36,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,305.10 : 120,457.74 = 24,145.20 : x
  2. Step 2: Convert to fraction form
    80,305.10/120,457.74 = 24,145.20/x
  3. Step 3: Cross multiply
    80,305.10x = 120,457.74 × 24,145.20
  4. Step 4: Simplify right side
    80,305.10x = 2,908,476,223.85
  5. Step 5: Solve for x
    x = 2,908,476,223.85/80,305.10
  6. Step 6: Final answer
    x = 36,217.83

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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.