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Finding the Fourth Proportional to 69,195.90, 103,777.92 and 27,076.98

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Solution

The fourth proportional to 69,195.90, 103,777.92 and 27,076.98 is: 40,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,195.90 : 103,777.92 = 27,076.98 : x
  2. Step 2: Convert to fraction form
    69,195.90/103,777.92 = 27,076.98/x
  3. Step 3: Cross multiply
    69,195.90x = 103,777.92 × 27,076.98
  4. Step 4: Simplify right side
    69,195.90x = 2,809,992,664.28
  5. Step 5: Solve for x
    x = 2,809,992,664.28/69,195.90
  6. Step 6: Final answer
    x = 40,609.24

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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.