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Finding the Fourth Proportional to 68,581.50, 102,904.60 and 24,229.14

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Solution

The fourth proportional to 68,581.50, 102,904.60 and 24,229.14 is: 36,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,581.50 : 102,904.60 = 24,229.14 : x
  2. Step 2: Convert to fraction form
    68,581.50/102,904.60 = 24,229.14/x
  3. Step 3: Cross multiply
    68,581.50x = 102,904.60 × 24,229.14
  4. Step 4: Simplify right side
    68,581.50x = 2,493,289,960.04
  5. Step 5: Solve for x
    x = 2,493,289,960.04/68,581.50
  6. Step 6: Final answer
    x = 36,355.14

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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.