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Finding the Fourth Proportional to 49,573, 68,412.20 and 27,218.44

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Solution

The fourth proportional to 49,573, 68,412.20 and 27,218.44 is: 37,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573 : 68,412.20 = 27,218.44 : x
  2. Step 2: Convert to fraction form
    49,573/68,412.20 = 27,218.44/x
  3. Step 3: Cross multiply
    49,573x = 68,412.20 × 27,218.44
  4. Step 4: Simplify right side
    49,573x = 1,862,073,360.97
  5. Step 5: Solve for x
    x = 1,862,073,360.97/49,573
  6. Step 6: Final answer
    x = 37,562.25

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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.