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Finding the Fourth Proportional to 68,346.90, 102,471.14 and 41,997.20

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Solution

The fourth proportional to 68,346.90, 102,471.14 and 41,997.20 is: 62,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,346.90 : 102,471.14 = 41,997.20 : x
  2. Step 2: Convert to fraction form
    68,346.90/102,471.14 = 41,997.20/x
  3. Step 3: Cross multiply
    68,346.90x = 102,471.14 × 41,997.20
  4. Step 4: Simplify right side
    68,346.90x = 4,303,500,960.81
  5. Step 5: Solve for x
    x = 4,303,500,960.81/68,346.90
  6. Step 6: Final answer
    x = 62,965.56

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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.