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Finding the Fourth Proportional to 65,198.68, 97,735.50 and 20,800.96

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Solution

The fourth proportional to 65,198.68, 97,735.50 and 20,800.96 is: 31,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.68 : 97,735.50 = 20,800.96 : x
  2. Step 2: Convert to fraction form
    65,198.68/97,735.50 = 20,800.96/x
  3. Step 3: Cross multiply
    65,198.68x = 97,735.50 × 20,800.96
  4. Step 4: Simplify right side
    65,198.68x = 2,032,992,226.08
  5. Step 5: Solve for x
    x = 2,032,992,226.08/65,198.68
  6. Step 6: Final answer
    x = 31,181.49

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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.