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Finding the Fourth Proportional to 65,235.50, 97,847.07 and 20,850.33

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Solution

The fourth proportional to 65,235.50, 97,847.07 and 20,850.33 is: 31,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.50 : 97,847.07 = 20,850.33 : x
  2. Step 2: Convert to fraction form
    65,235.50/97,847.07 = 20,850.33/x
  3. Step 3: Cross multiply
    65,235.50x = 97,847.07 × 20,850.33
  4. Step 4: Simplify right side
    65,235.50x = 2,040,143,699.03
  5. Step 5: Solve for x
    x = 2,040,143,699.03/65,235.50
  6. Step 6: Final answer
    x = 31,273.52

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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.