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Finding the Fourth Proportional to 68,131.40, 102,049.34 and 32,997.38

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Solution

The fourth proportional to 68,131.40, 102,049.34 and 32,997.38 is: 49,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,131.40 : 102,049.34 = 32,997.38 : x
  2. Step 2: Convert to fraction form
    68,131.40/102,049.34 = 32,997.38/x
  3. Step 3: Cross multiply
    68,131.40x = 102,049.34 × 32,997.38
  4. Step 4: Simplify right side
    68,131.40x = 3,367,360,175.50
  5. Step 5: Solve for x
    x = 3,367,360,175.50/68,131.40
  6. Step 6: Final answer
    x = 49,424.50

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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.