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Finding the Fourth Proportional to 65,213.52, 97,832.92 and 27,772.96

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Solution

The fourth proportional to 65,213.52, 97,832.92 and 27,772.96 is: 41,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.52 : 97,832.92 = 27,772.96 : x
  2. Step 2: Convert to fraction form
    65,213.52/97,832.92 = 27,772.96/x
  3. Step 3: Cross multiply
    65,213.52x = 97,832.92 × 27,772.96
  4. Step 4: Simplify right side
    65,213.52x = 2,717,109,773.84
  5. Step 5: Solve for x
    x = 2,717,109,773.84/65,213.52
  6. Step 6: Final answer
    x = 41,664.82

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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.