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Finding the Fourth Proportional to 67,187.86, 100,773.07 and 27,739.64

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Solution

The fourth proportional to 67,187.86, 100,773.07 and 27,739.64 is: 41,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,187.86 : 100,773.07 = 27,739.64 : x
  2. Step 2: Convert to fraction form
    67,187.86/100,773.07 = 27,739.64/x
  3. Step 3: Cross multiply
    67,187.86x = 100,773.07 × 27,739.64
  4. Step 4: Simplify right side
    67,187.86x = 2,795,408,683.49
  5. Step 5: Solve for x
    x = 2,795,408,683.49/67,187.86
  6. Step 6: Final answer
    x = 41,605.86

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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.