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Finding the Fourth Proportional to 68,272.49, 102,414.21 and 52,285.07

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Solution

The fourth proportional to 68,272.49, 102,414.21 and 52,285.07 is: 78,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,272.49 : 102,414.21 = 52,285.07 : x
  2. Step 2: Convert to fraction form
    68,272.49/102,414.21 = 52,285.07/x
  3. Step 3: Cross multiply
    68,272.49x = 102,414.21 × 52,285.07
  4. Step 4: Simplify right side
    68,272.49x = 5,354,734,198.81
  5. Step 5: Solve for x
    x = 5,354,734,198.81/68,272.49
  6. Step 6: Final answer
    x = 78,431.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.