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Finding the Fourth Proportional to 30,194.94, 41,708.24 and 22,981.04

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Solution

The fourth proportional to 30,194.94, 41,708.24 and 22,981.04 is: 31,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.94 : 41,708.24 = 22,981.04 : x
  2. Step 2: Convert to fraction form
    30,194.94/41,708.24 = 22,981.04/x
  3. Step 3: Cross multiply
    30,194.94x = 41,708.24 × 22,981.04
  4. Step 4: Simplify right side
    30,194.94x = 958,498,408.32
  5. Step 5: Solve for x
    x = 958,498,408.32/30,194.94
  6. Step 6: Final answer
    x = 31,743.68

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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.