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Finding the Fourth Proportional to 30,180.76, 41,638.02 and 22,241.92

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Solution

The fourth proportional to 30,180.76, 41,638.02 and 22,241.92 is: 30,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.76 : 41,638.02 = 22,241.92 : x
  2. Step 2: Convert to fraction form
    30,180.76/41,638.02 = 22,241.92/x
  3. Step 3: Cross multiply
    30,180.76x = 41,638.02 × 22,241.92
  4. Step 4: Simplify right side
    30,180.76x = 926,109,509.80
  5. Step 5: Solve for x
    x = 926,109,509.80/30,180.76
  6. Step 6: Final answer
    x = 30,685.43

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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.