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Finding the Fourth Proportional to 43,782.99, 65,633.34 and 33,093

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Solution

The fourth proportional to 43,782.99, 65,633.34 and 33,093 is: 49,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.99 : 65,633.34 = 33,093 : x
  2. Step 2: Convert to fraction form
    43,782.99/65,633.34 = 33,093/x
  3. Step 3: Cross multiply
    43,782.99x = 65,633.34 × 33,093
  4. Step 4: Simplify right side
    43,782.99x = 2,172,004,120.62
  5. Step 5: Solve for x
    x = 2,172,004,120.62/43,782.99
  6. Step 6: Final answer
    x = 49,608.40

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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.