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Finding the Fourth Proportional to 55,297.72, 82,913.22 and 22,022.92

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Solution

The fourth proportional to 55,297.72, 82,913.22 and 22,022.92 is: 33,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.72 : 82,913.22 = 22,022.92 : x
  2. Step 2: Convert to fraction form
    55,297.72/82,913.22 = 22,022.92/x
  3. Step 3: Cross multiply
    55,297.72x = 82,913.22 × 22,022.92
  4. Step 4: Simplify right side
    55,297.72x = 1,825,991,211.00
  5. Step 5: Solve for x
    x = 1,825,991,211.00/55,297.72
  6. Step 6: Final answer
    x = 33,021.09

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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.