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Finding the Fourth Proportional to 68,412.54, 94,408.42 and 38,198.38

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Solution

The fourth proportional to 68,412.54, 94,408.42 and 38,198.38 is: 52,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.54 : 94,408.42 = 38,198.38 : x
  2. Step 2: Convert to fraction form
    68,412.54/94,408.42 = 38,198.38/x
  3. Step 3: Cross multiply
    68,412.54x = 94,408.42 × 38,198.38
  4. Step 4: Simplify right side
    68,412.54x = 3,606,248,511.37
  5. Step 5: Solve for x
    x = 3,606,248,511.37/68,412.54
  6. Step 6: Final answer
    x = 52,713.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.