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Finding the Fourth Proportional to 65,338.56, 98,137.44 and 55,974.96

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Solution

The fourth proportional to 65,338.56, 98,137.44 and 55,974.96 is: 84,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.56 : 98,137.44 = 55,974.96 : x
  2. Step 2: Convert to fraction form
    65,338.56/98,137.44 = 55,974.96/x
  3. Step 3: Cross multiply
    65,338.56x = 98,137.44 × 55,974.96
  4. Step 4: Simplify right side
    65,338.56x = 5,493,239,278.50
  5. Step 5: Solve for x
    x = 5,493,239,278.50/65,338.56
  6. Step 6: Final answer
    x = 84,073.47

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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.