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Finding the Fourth Proportional to 65,231.35, 97,874.87 and 27,809.04

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Solution

The fourth proportional to 65,231.35, 97,874.87 and 27,809.04 is: 41,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.35 : 97,874.87 = 27,809.04 : x
  2. Step 2: Convert to fraction form
    65,231.35/97,874.87 = 27,809.04/x
  3. Step 3: Cross multiply
    65,231.35x = 97,874.87 × 27,809.04
  4. Step 4: Simplify right side
    65,231.35x = 2,721,806,174.82
  5. Step 5: Solve for x
    x = 2,721,806,174.82/65,231.35
  6. Step 6: Final answer
    x = 41,725.43

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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.