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Finding the Fourth Proportional to 49,154.70, 67,832.84 and 27,644.44

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Solution

The fourth proportional to 49,154.70, 67,832.84 and 27,644.44 is: 38,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,154.70 : 67,832.84 = 27,644.44 : x
  2. Step 2: Convert to fraction form
    49,154.70/67,832.84 = 27,644.44/x
  3. Step 3: Cross multiply
    49,154.70x = 67,832.84 × 27,644.44
  4. Step 4: Simplify right side
    49,154.70x = 1,875,201,114.10
  5. Step 5: Solve for x
    x = 1,875,201,114.10/49,154.70
  6. Step 6: Final answer
    x = 38,148.97

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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.