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Finding the Fourth Proportional to 35,049.28, 48,367.96 and 22,474

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Solution

The fourth proportional to 35,049.28, 48,367.96 and 22,474 is: 31,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,049.28 : 48,367.96 = 22,474 : x
  2. Step 2: Convert to fraction form
    35,049.28/48,367.96 = 22,474/x
  3. Step 3: Cross multiply
    35,049.28x = 48,367.96 × 22,474
  4. Step 4: Simplify right side
    35,049.28x = 1,087,021,533.04
  5. Step 5: Solve for x
    x = 1,087,021,533.04/35,049.28
  6. Step 6: Final answer
    x = 31,014.09

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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.