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Finding the Fourth Proportional to 68,579.86, 102,878.02 and 24,197.44

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Solution

The fourth proportional to 68,579.86, 102,878.02 and 24,197.44 is: 36,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,579.86 : 102,878.02 = 24,197.44 : x
  2. Step 2: Convert to fraction form
    68,579.86/102,878.02 = 24,197.44/x
  3. Step 3: Cross multiply
    68,579.86x = 102,878.02 × 24,197.44
  4. Step 4: Simplify right side
    68,579.86x = 2,489,384,716.27
  5. Step 5: Solve for x
    x = 2,489,384,716.27/68,579.86
  6. Step 6: Final answer
    x = 36,299.06

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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.