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Finding the Fourth Proportional to 34,172.46, 47,177.37 and 22,229.82

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Solution

The fourth proportional to 34,172.46, 47,177.37 and 22,229.82 is: 30,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.46 : 47,177.37 = 22,229.82 : x
  2. Step 2: Convert to fraction form
    34,172.46/47,177.37 = 22,229.82/x
  3. Step 3: Cross multiply
    34,172.46x = 47,177.37 × 22,229.82
  4. Step 4: Simplify right side
    34,172.46x = 1,048,744,443.17
  5. Step 5: Solve for x
    x = 1,048,744,443.17/34,172.46
  6. Step 6: Final answer
    x = 30,689.76

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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.