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Finding the Fourth Proportional to 48,694.56, 67,198.56 and 27,475.80

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Solution

The fourth proportional to 48,694.56, 67,198.56 and 27,475.80 is: 37,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694.56 : 67,198.56 = 27,475.80 : x
  2. Step 2: Convert to fraction form
    48,694.56/67,198.56 = 27,475.80/x
  3. Step 3: Cross multiply
    48,694.56x = 67,198.56 × 27,475.80
  4. Step 4: Simplify right side
    48,694.56x = 1,846,333,721.48
  5. Step 5: Solve for x
    x = 1,846,333,721.48/48,694.56
  6. Step 6: Final answer
    x = 37,916.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.