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Finding the Fourth Proportional to 65,170.77, 97,747.98 and 20,793.84

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Solution

The fourth proportional to 65,170.77, 97,747.98 and 20,793.84 is: 31,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.77 : 97,747.98 = 20,793.84 : x
  2. Step 2: Convert to fraction form
    65,170.77/97,747.98 = 20,793.84/x
  3. Step 3: Cross multiply
    65,170.77x = 97,747.98 × 20,793.84
  4. Step 4: Simplify right side
    65,170.77x = 2,032,555,856.44
  5. Step 5: Solve for x
    x = 2,032,555,856.44/65,170.77
  6. Step 6: Final answer
    x = 31,188.15

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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.