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Finding the Fourth Proportional to 55,206.12, 82,797.57 and 17,769.54

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Solution

The fourth proportional to 55,206.12, 82,797.57 and 17,769.54 is: 26,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.12 : 82,797.57 = 17,769.54 : x
  2. Step 2: Convert to fraction form
    55,206.12/82,797.57 = 17,769.54/x
  3. Step 3: Cross multiply
    55,206.12x = 82,797.57 × 17,769.54
  4. Step 4: Simplify right side
    55,206.12x = 1,471,274,732.02
  5. Step 5: Solve for x
    x = 1,471,274,732.02/55,206.12
  6. Step 6: Final answer
    x = 26,650.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.