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Finding the Fourth Proportional to 102,943.20, 154,414.80 and 36,382.80

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Solution

The fourth proportional to 102,943.20, 154,414.80 and 36,382.80 is: 54,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,943.20 : 154,414.80 = 36,382.80 : x
  2. Step 2: Convert to fraction form
    102,943.20/154,414.80 = 36,382.80/x
  3. Step 3: Cross multiply
    102,943.20x = 154,414.80 × 36,382.80
  4. Step 4: Simplify right side
    102,943.20x = 5,618,042,785.44
  5. Step 5: Solve for x
    x = 5,618,042,785.44/102,943.20
  6. Step 6: Final answer
    x = 54,574.20

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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.