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Finding the Fourth Proportional to 55,222.78, 82,834.98 and 20,165.98

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Solution

The fourth proportional to 55,222.78, 82,834.98 and 20,165.98 is: 30,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.78 : 82,834.98 = 20,165.98 : x
  2. Step 2: Convert to fraction form
    55,222.78/82,834.98 = 20,165.98/x
  3. Step 3: Cross multiply
    55,222.78x = 82,834.98 × 20,165.98
  4. Step 4: Simplify right side
    55,222.78x = 1,670,448,549.98
  5. Step 5: Solve for x
    x = 1,670,448,549.98/55,222.78
  6. Step 6: Final answer
    x = 30,249.27

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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.