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Finding the Fourth Proportional to 33,197.99, 45,768.38 and 32,166.05

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Solution

The fourth proportional to 33,197.99, 45,768.38 and 32,166.05 is: 44,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.99 : 45,768.38 = 32,166.05 : x
  2. Step 2: Convert to fraction form
    33,197.99/45,768.38 = 32,166.05/x
  3. Step 3: Cross multiply
    33,197.99x = 45,768.38 × 32,166.05
  4. Step 4: Simplify right side
    33,197.99x = 1,472,187,609.83
  5. Step 5: Solve for x
    x = 1,472,187,609.83/33,197.99
  6. Step 6: Final answer
    x = 44,345.69

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Why These Related Problems?

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