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Finding the Fourth Proportional to 68,206.56, 102,322.80 and 23,845.92

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Solution

The fourth proportional to 68,206.56, 102,322.80 and 23,845.92 is: 35,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,206.56 : 102,322.80 = 23,845.92 : x
  2. Step 2: Convert to fraction form
    68,206.56/102,322.80 = 23,845.92/x
  3. Step 3: Cross multiply
    68,206.56x = 102,322.80 × 23,845.92
  4. Step 4: Simplify right side
    68,206.56x = 2,439,981,302.98
  5. Step 5: Solve for x
    x = 2,439,981,302.98/68,206.56
  6. Step 6: Final answer
    x = 35,773.41

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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.