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Finding the Fourth Proportional to 68,114.14, 102,171.79 and 23,740.82

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Solution

The fourth proportional to 68,114.14, 102,171.79 and 23,740.82 is: 35,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.14 : 102,171.79 = 23,740.82 : x
  2. Step 2: Convert to fraction form
    68,114.14/102,171.79 = 23,740.82/x
  3. Step 3: Cross multiply
    68,114.14x = 102,171.79 × 23,740.82
  4. Step 4: Simplify right side
    68,114.14x = 2,425,641,977.43
  5. Step 5: Solve for x
    x = 2,425,641,977.43/68,114.14
  6. Step 6: Final answer
    x = 35,611.43

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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.