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Finding the Fourth Proportional to 68,092.85, 102,142.01 and 23,724.09

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Solution

The fourth proportional to 68,092.85, 102,142.01 and 23,724.09 is: 35,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.85 : 102,142.01 = 23,724.09 : x
  2. Step 2: Convert to fraction form
    68,092.85/102,142.01 = 23,724.09/x
  3. Step 3: Cross multiply
    68,092.85x = 102,142.01 × 23,724.09
  4. Step 4: Simplify right side
    68,092.85x = 2,423,226,297.33
  5. Step 5: Solve for x
    x = 2,423,226,297.33/68,092.85
  6. Step 6: Final answer
    x = 35,587.09

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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.