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Finding the Fourth Proportional to 68,286.38, 102,429.50 and 21,539.25

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Solution

The fourth proportional to 68,286.38, 102,429.50 and 21,539.25 is: 32,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,286.38 : 102,429.50 = 21,539.25 : x
  2. Step 2: Convert to fraction form
    68,286.38/102,429.50 = 21,539.25/x
  3. Step 3: Cross multiply
    68,286.38x = 102,429.50 × 21,539.25
  4. Step 4: Simplify right side
    68,286.38x = 2,206,254,500.18
  5. Step 5: Solve for x
    x = 2,206,254,500.18/68,286.38
  6. Step 6: Final answer
    x = 32,308.85

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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.