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Finding the Fourth Proportional to 68,197.68, 102,230.40 and 34,933.44

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Solution

The fourth proportional to 68,197.68, 102,230.40 and 34,933.44 is: 52,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.68 : 102,230.40 = 34,933.44 : x
  2. Step 2: Convert to fraction form
    68,197.68/102,230.40 = 34,933.44/x
  3. Step 3: Cross multiply
    68,197.68x = 102,230.40 × 34,933.44
  4. Step 4: Simplify right side
    68,197.68x = 3,571,259,544.58
  5. Step 5: Solve for x
    x = 3,571,259,544.58/68,197.68
  6. Step 6: Final answer
    x = 52,366.29

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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.