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Finding the Fourth Proportional to 68,107.42, 102,135.21 and 31,145.50

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Solution

The fourth proportional to 68,107.42, 102,135.21 and 31,145.50 is: 46,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.42 : 102,135.21 = 31,145.50 : x
  2. Step 2: Convert to fraction form
    68,107.42/102,135.21 = 31,145.50/x
  3. Step 3: Cross multiply
    68,107.42x = 102,135.21 × 31,145.50
  4. Step 4: Simplify right side
    68,107.42x = 3,181,052,183.06
  5. Step 5: Solve for x
    x = 3,181,052,183.06/68,107.42
  6. Step 6: Final answer
    x = 46,706.40

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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.