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Finding the Fourth Proportional to 55,299.32, 82,934.30 and 20,239.24

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Solution

The fourth proportional to 55,299.32, 82,934.30 and 20,239.24 is: 30,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,299.32 : 82,934.30 = 20,239.24 : x
  2. Step 2: Convert to fraction form
    55,299.32/82,934.30 = 20,239.24/x
  3. Step 3: Cross multiply
    55,299.32x = 82,934.30 × 20,239.24
  4. Step 4: Simplify right side
    55,299.32x = 1,678,527,201.93
  5. Step 5: Solve for x
    x = 1,678,527,201.93/55,299.32
  6. Step 6: Final answer
    x = 30,353.49

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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.