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Finding the Fourth Proportional to 40,734.47, 56,213.49 and 22,829.47

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Solution

The fourth proportional to 40,734.47, 56,213.49 and 22,829.47 is: 31,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734.47 : 56,213.49 = 22,829.47 : x
  2. Step 2: Convert to fraction form
    40,734.47/56,213.49 = 22,829.47/x
  3. Step 3: Cross multiply
    40,734.47x = 56,213.49 × 22,829.47
  4. Step 4: Simplify right side
    40,734.47x = 1,283,324,286.73
  5. Step 5: Solve for x
    x = 1,283,324,286.73/40,734.47
  6. Step 6: Final answer
    x = 31,504.63

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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.