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Finding the Fourth Proportional to 67,226.60, 100,835.82 and 29,775.68

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Solution

The fourth proportional to 67,226.60, 100,835.82 and 29,775.68 is: 44,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,226.60 : 100,835.82 = 29,775.68 : x
  2. Step 2: Convert to fraction form
    67,226.60/100,835.82 = 29,775.68/x
  3. Step 3: Cross multiply
    67,226.60x = 100,835.82 × 29,775.68
  4. Step 4: Simplify right side
    67,226.60x = 3,002,455,108.86
  5. Step 5: Solve for x
    x = 3,002,455,108.86/67,226.60
  6. Step 6: Final answer
    x = 44,661.71

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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.