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Finding the Fourth Proportional to 73,983.66, 110,986.54 and 27,232.98

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Solution

The fourth proportional to 73,983.66, 110,986.54 and 27,232.98 is: 40,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983.66 : 110,986.54 = 27,232.98 : x
  2. Step 2: Convert to fraction form
    73,983.66/110,986.54 = 27,232.98/x
  3. Step 3: Cross multiply
    73,983.66x = 110,986.54 × 27,232.98
  4. Step 4: Simplify right side
    73,983.66x = 3,022,494,224.09
  5. Step 5: Solve for x
    x = 3,022,494,224.09/73,983.66
  6. Step 6: Final answer
    x = 40,853.54

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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.