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Finding the Fourth Proportional to 80,215.38, 120,298.74 and 33,457.32

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Solution

The fourth proportional to 80,215.38, 120,298.74 and 33,457.32 is: 50,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,215.38 : 120,298.74 = 33,457.32 : x
  2. Step 2: Convert to fraction form
    80,215.38/120,298.74 = 33,457.32/x
  3. Step 3: Cross multiply
    80,215.38x = 120,298.74 × 33,457.32
  4. Step 4: Simplify right side
    80,215.38x = 4,024,873,439.78
  5. Step 5: Solve for x
    x = 4,024,873,439.78/80,215.38
  6. Step 6: Final answer
    x = 50,175.83

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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.