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Finding the Fourth Proportional to 34,172.82, 47,129.04 and 22,231.80

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Solution

The fourth proportional to 34,172.82, 47,129.04 and 22,231.80 is: 30,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.82 : 47,129.04 = 22,231.80 : x
  2. Step 2: Convert to fraction form
    34,172.82/47,129.04 = 22,231.80/x
  3. Step 3: Cross multiply
    34,172.82x = 47,129.04 × 22,231.80
  4. Step 4: Simplify right side
    34,172.82x = 1,047,763,391.47
  5. Step 5: Solve for x
    x = 1,047,763,391.47/34,172.82
  6. Step 6: Final answer
    x = 30,660.72

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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.