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Finding the Fourth Proportional to 65,153.22, 97,761 and 36,712.86

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Solution

The fourth proportional to 65,153.22, 97,761 and 36,712.86 is: 55,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.22 : 97,761 = 36,712.86 : x
  2. Step 2: Convert to fraction form
    65,153.22/97,761 = 36,712.86/x
  3. Step 3: Cross multiply
    65,153.22x = 97,761 × 36,712.86
  4. Step 4: Simplify right side
    65,153.22x = 3,589,085,906.46
  5. Step 5: Solve for x
    x = 3,589,085,906.46/65,153.22
  6. Step 6: Final answer
    x = 55,086.85

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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.