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Finding the Fourth Proportional to 119,843.52, 179,782.56 and 36,744

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Solution

The fourth proportional to 119,843.52, 179,782.56 and 36,744 is: 55,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,843.52 : 179,782.56 = 36,744 : x
  2. Step 2: Convert to fraction form
    119,843.52/179,782.56 = 36,744/x
  3. Step 3: Cross multiply
    119,843.52x = 179,782.56 × 36,744
  4. Step 4: Simplify right side
    119,843.52x = 6,605,930,384.64
  5. Step 5: Solve for x
    x = 6,605,930,384.64/119,843.52
  6. Step 6: Final answer
    x = 55,121.30

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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.