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Finding the Fourth Proportional to 65,234.37, 97,863.84 and 20,849.20

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Solution

The fourth proportional to 65,234.37, 97,863.84 and 20,849.20 is: 31,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.37 : 97,863.84 = 20,849.20 : x
  2. Step 2: Convert to fraction form
    65,234.37/97,863.84 = 20,849.20/x
  3. Step 3: Cross multiply
    65,234.37x = 97,863.84 × 20,849.20
  4. Step 4: Simplify right side
    65,234.37x = 2,040,382,772.93
  5. Step 5: Solve for x
    x = 2,040,382,772.93/65,234.37
  6. Step 6: Final answer
    x = 31,277.73

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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.