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Finding the Fourth Proportional to 68,164.71, 102,267.96 and 34,908.12

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Solution

The fourth proportional to 68,164.71, 102,267.96 and 34,908.12 is: 52,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.71 : 102,267.96 = 34,908.12 : x
  2. Step 2: Convert to fraction form
    68,164.71/102,267.96 = 34,908.12/x
  3. Step 3: Cross multiply
    68,164.71x = 102,267.96 × 34,908.12
  4. Step 4: Simplify right side
    68,164.71x = 3,569,982,219.84
  5. Step 5: Solve for x
    x = 3,569,982,219.84/68,164.71
  6. Step 6: Final answer
    x = 52,372.88

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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.