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Finding the Fourth Proportional to 68,271.92, 102,471.24 and 35,016.56

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Solution

The fourth proportional to 68,271.92, 102,471.24 and 35,016.56 is: 52,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,271.92 : 102,471.24 = 35,016.56 : x
  2. Step 2: Convert to fraction form
    68,271.92/102,471.24 = 35,016.56/x
  3. Step 3: Cross multiply
    68,271.92x = 102,471.24 × 35,016.56
  4. Step 4: Simplify right side
    68,271.92x = 3,588,190,323.73
  5. Step 5: Solve for x
    x = 3,588,190,323.73/68,271.92
  6. Step 6: Final answer
    x = 52,557.34

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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.