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Finding the Fourth Proportional to 68,204.40, 102,260.32 and 23,806.88

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Solution

The fourth proportional to 68,204.40, 102,260.32 and 23,806.88 is: 35,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,204.40 : 102,260.32 = 23,806.88 : x
  2. Step 2: Convert to fraction form
    68,204.40/102,260.32 = 23,806.88/x
  3. Step 3: Cross multiply
    68,204.40x = 102,260.32 × 23,806.88
  4. Step 4: Simplify right side
    68,204.40x = 2,434,499,167.00
  5. Step 5: Solve for x
    x = 2,434,499,167.00/68,204.40
  6. Step 6: Final answer
    x = 35,694.17

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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.