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Finding the Fourth Proportional to 65,267.42, 97,853.24 and 20,868.62

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Solution

The fourth proportional to 65,267.42, 97,853.24 and 20,868.62 is: 31,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.42 : 97,853.24 = 20,868.62 : x
  2. Step 2: Convert to fraction form
    65,267.42/97,853.24 = 20,868.62/x
  3. Step 3: Cross multiply
    65,267.42x = 97,853.24 × 20,868.62
  4. Step 4: Simplify right side
    65,267.42x = 2,042,061,487.72
  5. Step 5: Solve for x
    x = 2,042,061,487.72/65,267.42
  6. Step 6: Final answer
    x = 31,287.61

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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.