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Finding the Fourth Proportional to 102,847, 154,282.74 and 36,273.32

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Solution

The fourth proportional to 102,847, 154,282.74 and 36,273.32 is: 54,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,847 : 154,282.74 = 36,273.32 : x
  2. Step 2: Convert to fraction form
    102,847/154,282.74 = 36,273.32/x
  3. Step 3: Cross multiply
    102,847x = 154,282.74 × 36,273.32
  4. Step 4: Simplify right side
    102,847x = 5,596,347,198.50
  5. Step 5: Solve for x
    x = 5,596,347,198.50/102,847
  6. Step 6: Final answer
    x = 54,414.30

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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.