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Finding the Fourth Proportional to 55,203.34, 82,817.22 and 20,142.88

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Solution

The fourth proportional to 55,203.34, 82,817.22 and 20,142.88 is: 30,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.34 : 82,817.22 = 20,142.88 : x
  2. Step 2: Convert to fraction form
    55,203.34/82,817.22 = 20,142.88/x
  3. Step 3: Cross multiply
    55,203.34x = 82,817.22 × 20,142.88
  4. Step 4: Simplify right side
    55,203.34x = 1,668,177,324.39
  5. Step 5: Solve for x
    x = 1,668,177,324.39/55,203.34
  6. Step 6: Final answer
    x = 30,218.78

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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.