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Finding the Fourth Proportional to 65,163.28, 97,676.52 and 27,714.64

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Solution

The fourth proportional to 65,163.28, 97,676.52 and 27,714.64 is: 41,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.28 : 97,676.52 = 27,714.64 : x
  2. Step 2: Convert to fraction form
    65,163.28/97,676.52 = 27,714.64/x
  3. Step 3: Cross multiply
    65,163.28x = 97,676.52 × 27,714.64
  4. Step 4: Simplify right side
    65,163.28x = 2,707,069,588.25
  5. Step 5: Solve for x
    x = 2,707,069,588.25/65,163.28
  6. Step 6: Final answer
    x = 41,542.87

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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.