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Finding the Fourth Proportional to 40,105.14, 55,344.42 and 22,199.76

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Solution

The fourth proportional to 40,105.14, 55,344.42 and 22,199.76 is: 30,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105.14 : 55,344.42 = 22,199.76 : x
  2. Step 2: Convert to fraction form
    40,105.14/55,344.42 = 22,199.76/x
  3. Step 3: Cross multiply
    40,105.14x = 55,344.42 × 22,199.76
  4. Step 4: Simplify right side
    40,105.14x = 1,228,632,841.34
  5. Step 5: Solve for x
    x = 1,228,632,841.34/40,105.14
  6. Step 6: Final answer
    x = 30,635.30

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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.