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Finding the Fourth Proportional to 34,074.99, 47,022.12 and 22,161.78

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Solution

The fourth proportional to 34,074.99, 47,022.12 and 22,161.78 is: 30,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.99 : 47,022.12 = 22,161.78 : x
  2. Step 2: Convert to fraction form
    34,074.99/47,022.12 = 22,161.78/x
  3. Step 3: Cross multiply
    34,074.99x = 47,022.12 × 22,161.78
  4. Step 4: Simplify right side
    34,074.99x = 1,042,093,878.57
  5. Step 5: Solve for x
    x = 1,042,093,878.57/34,074.99
  6. Step 6: Final answer
    x = 30,582.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.