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Finding the Fourth Proportional to 73,974.65, 110,973.05 and 27,223.97

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Solution

The fourth proportional to 73,974.65, 110,973.05 and 27,223.97 is: 40,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974.65 : 110,973.05 = 27,223.97 : x
  2. Step 2: Convert to fraction form
    73,974.65/110,973.05 = 27,223.97/x
  3. Step 3: Cross multiply
    73,974.65x = 110,973.05 × 27,223.97
  4. Step 4: Simplify right side
    73,974.65x = 3,021,126,847.89
  5. Step 5: Solve for x
    x = 3,021,126,847.89/73,974.65
  6. Step 6: Final answer
    x = 40,840.03

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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.