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Finding the Fourth Proportional to 39,283.50, 54,211.23 and 22,516.50

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Solution

The fourth proportional to 39,283.50, 54,211.23 and 22,516.50 is: 31,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283.50 : 54,211.23 = 22,516.50 : x
  2. Step 2: Convert to fraction form
    39,283.50/54,211.23 = 22,516.50/x
  3. Step 3: Cross multiply
    39,283.50x = 54,211.23 × 22,516.50
  4. Step 4: Simplify right side
    39,283.50x = 1,220,647,160.30
  5. Step 5: Solve for x
    x = 1,220,647,160.30/39,283.50
  6. Step 6: Final answer
    x = 31,072.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.