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Finding the Fourth Proportional to 68,099.31, 102,244.65 and 34,843.23

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Solution

The fourth proportional to 68,099.31, 102,244.65 and 34,843.23 is: 52,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,099.31 : 102,244.65 = 34,843.23 : x
  2. Step 2: Convert to fraction form
    68,099.31/102,244.65 = 34,843.23/x
  3. Step 3: Cross multiply
    68,099.31x = 102,244.65 × 34,843.23
  4. Step 4: Simplify right side
    68,099.31x = 3,562,533,856.22
  5. Step 5: Solve for x
    x = 3,562,533,856.22/68,099.31
  6. Step 6: Final answer
    x = 52,313.80

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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.