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Finding the Fourth Proportional to 65,165.28, 97,679.52 and 27,716.64

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Solution

The fourth proportional to 65,165.28, 97,679.52 and 27,716.64 is: 41,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.28 : 97,679.52 = 27,716.64 : x
  2. Step 2: Convert to fraction form
    65,165.28/97,679.52 = 27,716.64/x
  3. Step 3: Cross multiply
    65,165.28x = 97,679.52 × 27,716.64
  4. Step 4: Simplify right side
    65,165.28x = 2,707,348,091.21
  5. Step 5: Solve for x
    x = 2,707,348,091.21/65,165.28
  6. Step 6: Final answer
    x = 41,545.87

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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.