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Finding the Fourth Proportional to 68,657.70, 102,942.15 and 29,204.10

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Solution

The fourth proportional to 68,657.70, 102,942.15 and 29,204.10 is: 43,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,657.70 : 102,942.15 = 29,204.10 : x
  2. Step 2: Convert to fraction form
    68,657.70/102,942.15 = 29,204.10/x
  3. Step 3: Cross multiply
    68,657.70x = 102,942.15 × 29,204.10
  4. Step 4: Simplify right side
    68,657.70x = 3,006,332,842.82
  5. Step 5: Solve for x
    x = 3,006,332,842.82/68,657.70
  6. Step 6: Final answer
    x = 43,787.26

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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.