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Finding the Fourth Proportional to 30,344.41, 41,880.61 and 23,162.55

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Solution

The fourth proportional to 30,344.41, 41,880.61 and 23,162.55 is: 31,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.41 : 41,880.61 = 23,162.55 : x
  2. Step 2: Convert to fraction form
    30,344.41/41,880.61 = 23,162.55/x
  3. Step 3: Cross multiply
    30,344.41x = 41,880.61 × 23,162.55
  4. Step 4: Simplify right side
    30,344.41x = 970,061,723.16
  5. Step 5: Solve for x
    x = 970,061,723.16/30,344.41
  6. Step 6: Final answer
    x = 31,968.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.