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Finding the Fourth Proportional to 68,198.69, 102,322.70 and 34,934.42

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Solution

The fourth proportional to 68,198.69, 102,322.70 and 34,934.42 is: 52,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,198.69 : 102,322.70 = 34,934.42 : x
  2. Step 2: Convert to fraction form
    68,198.69/102,322.70 = 34,934.42/x
  3. Step 3: Cross multiply
    68,198.69x = 102,322.70 × 34,934.42
  4. Step 4: Simplify right side
    68,198.69x = 3,574,584,177.33
  5. Step 5: Solve for x
    x = 3,574,584,177.33/68,198.69
  6. Step 6: Final answer
    x = 52,414.26

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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.