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Finding the Fourth Proportional to 65,231.18, 97,874.62 and 27,808.88

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Solution

The fourth proportional to 65,231.18, 97,874.62 and 27,808.88 is: 41,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.18 : 97,874.62 = 27,808.88 : x
  2. Step 2: Convert to fraction form
    65,231.18/97,874.62 = 27,808.88/x
  3. Step 3: Cross multiply
    65,231.18x = 97,874.62 × 27,808.88
  4. Step 4: Simplify right side
    65,231.18x = 2,721,783,003.73
  5. Step 5: Solve for x
    x = 2,721,783,003.73/65,231.18
  6. Step 6: Final answer
    x = 41,725.19

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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.