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Finding the Fourth Proportional to 68,309.92, 102,471.71 and 20,924.46

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Solution

The fourth proportional to 68,309.92, 102,471.71 and 20,924.46 is: 31,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,309.92 : 102,471.71 = 20,924.46 : x
  2. Step 2: Convert to fraction form
    68,309.92/102,471.71 = 20,924.46/x
  3. Step 3: Cross multiply
    68,309.92x = 102,471.71 × 20,924.46
  4. Step 4: Simplify right side
    68,309.92x = 2,144,165,144.72
  5. Step 5: Solve for x
    x = 2,144,165,144.72/68,309.92
  6. Step 6: Final answer
    x = 31,388.78

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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.