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Finding the Fourth Proportional to 55,211.49, 82,841.83 and 20,142.95

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Solution

The fourth proportional to 55,211.49, 82,841.83 and 20,142.95 is: 30,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,211.49 : 82,841.83 = 20,142.95 : x
  2. Step 2: Convert to fraction form
    55,211.49/82,841.83 = 20,142.95/x
  3. Step 3: Cross multiply
    55,211.49x = 82,841.83 × 20,142.95
  4. Step 4: Simplify right side
    55,211.49x = 1,668,678,375.03
  5. Step 5: Solve for x
    x = 1,668,678,375.03/55,211.49
  6. Step 6: Final answer
    x = 30,223.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.