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Finding the Fourth Proportional to 43,633.77, 65,352.24 and 20,211

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Solution

The fourth proportional to 43,633.77, 65,352.24 and 20,211 is: 30,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633.77 : 65,352.24 = 20,211 : x
  2. Step 2: Convert to fraction form
    43,633.77/65,352.24 = 20,211/x
  3. Step 3: Cross multiply
    43,633.77x = 65,352.24 × 20,211
  4. Step 4: Simplify right side
    43,633.77x = 1,320,834,122.64
  5. Step 5: Solve for x
    x = 1,320,834,122.64/43,633.77
  6. Step 6: Final answer
    x = 30,270.91

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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.