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Finding the Fourth Proportional to 68,511.93, 102,808.90 and 24,175.97

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Solution

The fourth proportional to 68,511.93, 102,808.90 and 24,175.97 is: 36,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,511.93 : 102,808.90 = 24,175.97 : x
  2. Step 2: Convert to fraction form
    68,511.93/102,808.90 = 24,175.97/x
  3. Step 3: Cross multiply
    68,511.93x = 102,808.90 × 24,175.97
  4. Step 4: Simplify right side
    68,511.93x = 2,485,504,307.65
  5. Step 5: Solve for x
    x = 2,485,504,307.65/68,511.93
  6. Step 6: Final answer
    x = 36,278.42

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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.