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Finding the Fourth Proportional to 40,105, 55,344.10 and 22,200

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Solution

The fourth proportional to 40,105, 55,344.10 and 22,200 is: 30,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105 : 55,344.10 = 22,200 : x
  2. Step 2: Convert to fraction form
    40,105/55,344.10 = 22,200/x
  3. Step 3: Cross multiply
    40,105x = 55,344.10 × 22,200
  4. Step 4: Simplify right side
    40,105x = 1,228,639,020
  5. Step 5: Solve for x
    x = 1,228,639,020/40,105
  6. Step 6: Final answer
    x = 30,635.56

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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.