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Finding the Fourth Proportional to 47,563.28, 71,344.92 and 22,922

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Solution

The fourth proportional to 47,563.28, 71,344.92 and 22,922 is: 34,383

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,563.28 : 71,344.92 = 22,922 : x
  2. Step 2: Convert to fraction form
    47,563.28/71,344.92 = 22,922/x
  3. Step 3: Cross multiply
    47,563.28x = 71,344.92 × 22,922
  4. Step 4: Simplify right side
    47,563.28x = 1,635,368,256.24
  5. Step 5: Solve for x
    x = 1,635,368,256.24/47,563.28
  6. Step 6: Final answer
    x = 34,383

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.