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Finding the Fourth Proportional to 65,183.80, 97,727.10 and 27,713.20

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Solution

The fourth proportional to 65,183.80, 97,727.10 and 27,713.20 is: 41,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.80 : 97,727.10 = 27,713.20 : x
  2. Step 2: Convert to fraction form
    65,183.80/97,727.10 = 27,713.20/x
  3. Step 3: Cross multiply
    65,183.80x = 97,727.10 × 27,713.20
  4. Step 4: Simplify right side
    65,183.80x = 2,708,330,667.72
  5. Step 5: Solve for x
    x = 2,708,330,667.72/65,183.80
  6. Step 6: Final answer
    x = 41,549.14

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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.