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Finding the Fourth Proportional to 67,157.94, 100,671.30 and 27,742.62

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Solution

The fourth proportional to 67,157.94, 100,671.30 and 27,742.62 is: 41,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,157.94 : 100,671.30 = 27,742.62 : x
  2. Step 2: Convert to fraction form
    67,157.94/100,671.30 = 27,742.62/x
  3. Step 3: Cross multiply
    67,157.94x = 100,671.30 × 27,742.62
  4. Step 4: Simplify right side
    67,157.94x = 2,792,885,620.81
  5. Step 5: Solve for x
    x = 2,792,885,620.81/67,157.94
  6. Step 6: Final answer
    x = 41,586.83

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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.