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Finding the Fourth Proportional to 98,422.56, 135,797.04 and 55,974.24

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Solution

The fourth proportional to 98,422.56, 135,797.04 and 55,974.24 is: 77,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.56 : 135,797.04 = 55,974.24 : x
  2. Step 2: Convert to fraction form
    98,422.56/135,797.04 = 55,974.24/x
  3. Step 3: Cross multiply
    98,422.56x = 135,797.04 × 55,974.24
  4. Step 4: Simplify right side
    98,422.56x = 7,601,136,108.25
  5. Step 5: Solve for x
    x = 7,601,136,108.25/98,422.56
  6. Step 6: Final answer
    x = 77,229.61

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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.