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Finding the Fourth Proportional to 65,163.03, 97,749.99 and 20,796.09

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Solution

The fourth proportional to 65,163.03, 97,749.99 and 20,796.09 is: 31,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.03 : 97,749.99 = 20,796.09 : x
  2. Step 2: Convert to fraction form
    65,163.03/97,749.99 = 20,796.09/x
  3. Step 3: Cross multiply
    65,163.03x = 97,749.99 × 20,796.09
  4. Step 4: Simplify right side
    65,163.03x = 2,032,817,589.54
  5. Step 5: Solve for x
    x = 2,032,817,589.54/65,163.03
  6. Step 6: Final answer
    x = 31,195.87

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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.