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Finding the Fourth Proportional to 80,165.84, 110,580.67 and 52,942.18

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Solution

The fourth proportional to 80,165.84, 110,580.67 and 52,942.18 is: 73,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,165.84 : 110,580.67 = 52,942.18 : x
  2. Step 2: Convert to fraction form
    80,165.84/110,580.67 = 52,942.18/x
  3. Step 3: Cross multiply
    80,165.84x = 110,580.67 × 52,942.18
  4. Step 4: Simplify right side
    80,165.84x = 5,854,380,918.05
  5. Step 5: Solve for x
    x = 5,854,380,918.05/80,165.84
  6. Step 6: Final answer
    x = 73,028.37

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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.