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Finding the Fourth Proportional to 110,902.52, 166,401.42 and 36,045.60

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Solution

The fourth proportional to 110,902.52, 166,401.42 and 36,045.60 is: 54,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.52 : 166,401.42 = 36,045.60 : x
  2. Step 2: Convert to fraction form
    110,902.52/166,401.42 = 36,045.60/x
  3. Step 3: Cross multiply
    110,902.52x = 166,401.42 × 36,045.60
  4. Step 4: Simplify right side
    110,902.52x = 5,998,039,024.75
  5. Step 5: Solve for x
    x = 5,998,039,024.75/110,902.52
  6. Step 6: Final answer
    x = 54,083.88

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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.