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Finding the Fourth Proportional to 55,223.78, 82,836.48 and 20,166.98

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Solution

The fourth proportional to 55,223.78, 82,836.48 and 20,166.98 is: 30,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.78 : 82,836.48 = 20,166.98 : x
  2. Step 2: Convert to fraction form
    55,223.78/82,836.48 = 20,166.98/x
  3. Step 3: Cross multiply
    55,223.78x = 82,836.48 × 20,166.98
  4. Step 4: Simplify right side
    55,223.78x = 1,670,561,635.43
  5. Step 5: Solve for x
    x = 1,670,561,635.43/55,223.78
  6. Step 6: Final answer
    x = 30,250.77

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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.