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Finding the Fourth Proportional to 40,175.50, 55,440.66 and 22,270.78

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Solution

The fourth proportional to 40,175.50, 55,440.66 and 22,270.78 is: 30,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,175.50 : 55,440.66 = 22,270.78 : x
  2. Step 2: Convert to fraction form
    40,175.50/55,440.66 = 22,270.78/x
  3. Step 3: Cross multiply
    40,175.50x = 55,440.66 × 22,270.78
  4. Step 4: Simplify right side
    40,175.50x = 1,234,706,741.91
  5. Step 5: Solve for x
    x = 1,234,706,741.91/40,175.50
  6. Step 6: Final answer
    x = 30,732.83

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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.