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Finding the Fourth Proportional to 55,753.58, 83,633.14 and 22,469.20

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Solution

The fourth proportional to 55,753.58, 83,633.14 and 22,469.20 is: 33,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,753.58 : 83,633.14 = 22,469.20 : x
  2. Step 2: Convert to fraction form
    55,753.58/83,633.14 = 22,469.20/x
  3. Step 3: Cross multiply
    55,753.58x = 83,633.14 × 22,469.20
  4. Step 4: Simplify right side
    55,753.58x = 1,879,169,749.29
  5. Step 5: Solve for x
    x = 1,879,169,749.29/55,753.58
  6. Step 6: Final answer
    x = 33,704.92

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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.