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Finding the Fourth Proportional to 65,188.16, 97,801.92 and 27,255.86

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Solution

The fourth proportional to 65,188.16, 97,801.92 and 27,255.86 is: 40,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.16 : 97,801.92 = 27,255.86 : x
  2. Step 2: Convert to fraction form
    65,188.16/97,801.92 = 27,255.86/x
  3. Step 3: Cross multiply
    65,188.16x = 97,801.92 × 27,255.86
  4. Step 4: Simplify right side
    65,188.16x = 2,665,675,439.25
  5. Step 5: Solve for x
    x = 2,665,675,439.25/65,188.16
  6. Step 6: Final answer
    x = 40,892.02

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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.