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Finding the Fourth Proportional to 55,195.34, 82,805.22 and 20,134.88

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Solution

The fourth proportional to 55,195.34, 82,805.22 and 20,134.88 is: 30,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,195.34 : 82,805.22 = 20,134.88 : x
  2. Step 2: Convert to fraction form
    55,195.34/82,805.22 = 20,134.88/x
  3. Step 3: Cross multiply
    55,195.34x = 82,805.22 × 20,134.88
  4. Step 4: Simplify right side
    55,195.34x = 1,667,273,168.07
  5. Step 5: Solve for x
    x = 1,667,273,168.07/55,195.34
  6. Step 6: Final answer
    x = 30,206.77

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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.