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Finding the Fourth Proportional to 49,193.44, 67,884.54 and 27,972.25

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Solution

The fourth proportional to 49,193.44, 67,884.54 and 27,972.25 is: 38,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193.44 : 67,884.54 = 27,972.25 : x
  2. Step 2: Convert to fraction form
    49,193.44/67,884.54 = 27,972.25/x
  3. Step 3: Cross multiply
    49,193.44x = 67,884.54 × 27,972.25
  4. Step 4: Simplify right side
    49,193.44x = 1,898,883,324.02
  5. Step 5: Solve for x
    x = 1,898,883,324.02/49,193.44
  6. Step 6: Final answer
    x = 38,600.34

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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.