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Finding the Fourth Proportional to 80,047.98, 119,976.54 and 37,296.06

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Solution

The fourth proportional to 80,047.98, 119,976.54 and 37,296.06 is: 55,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,047.98 : 119,976.54 = 37,296.06 : x
  2. Step 2: Convert to fraction form
    80,047.98/119,976.54 = 37,296.06/x
  3. Step 3: Cross multiply
    80,047.98x = 119,976.54 × 37,296.06
  4. Step 4: Simplify right side
    80,047.98x = 4,474,652,234.43
  5. Step 5: Solve for x
    x = 4,474,652,234.43/80,047.98
  6. Step 6: Final answer
    x = 55,899.63

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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.