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Finding the Fourth Proportional to 68,019.90, 102,029.72 and 18,100

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Solution

The fourth proportional to 68,019.90, 102,029.72 and 18,100 is: 27,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019.90 : 102,029.72 = 18,100 : x
  2. Step 2: Convert to fraction form
    68,019.90/102,029.72 = 18,100/x
  3. Step 3: Cross multiply
    68,019.90x = 102,029.72 × 18,100
  4. Step 4: Simplify right side
    68,019.90x = 1,846,737,932
  5. Step 5: Solve for x
    x = 1,846,737,932/68,019.90
  6. Step 6: Final answer
    x = 27,149.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.