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Finding the Fourth Proportional to 68,096.82, 102,144.90 and 17,495.81

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Solution

The fourth proportional to 68,096.82, 102,144.90 and 17,495.81 is: 26,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096.82 : 102,144.90 = 17,495.81 : x
  2. Step 2: Convert to fraction form
    68,096.82/102,144.90 = 17,495.81/x
  3. Step 3: Cross multiply
    68,096.82x = 102,144.90 × 17,495.81
  4. Step 4: Simplify right side
    68,096.82x = 1,787,107,252.14
  5. Step 5: Solve for x
    x = 1,787,107,252.14/68,096.82
  6. Step 6: Final answer
    x = 26,243.62

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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.