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Finding the Fourth Proportional to 30,201.43, 41,674.92 and 17,633.47

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Solution

The fourth proportional to 30,201.43, 41,674.92 and 17,633.47 is: 24,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.43 : 41,674.92 = 17,633.47 : x
  2. Step 2: Convert to fraction form
    30,201.43/41,674.92 = 17,633.47/x
  3. Step 3: Cross multiply
    30,201.43x = 41,674.92 × 17,633.47
  4. Step 4: Simplify right side
    30,201.43x = 734,873,451.57
  5. Step 5: Solve for x
    x = 734,873,451.57/30,201.43
  6. Step 6: Final answer
    x = 24,332.41

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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.