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Finding the Fourth Proportional to 71,967.50, 107,951.94 and 27,583.70

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Solution

The fourth proportional to 71,967.50, 107,951.94 and 27,583.70 is: 41,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,967.50 : 107,951.94 = 27,583.70 : x
  2. Step 2: Convert to fraction form
    71,967.50/107,951.94 = 27,583.70/x
  3. Step 3: Cross multiply
    71,967.50x = 107,951.94 × 27,583.70
  4. Step 4: Simplify right side
    71,967.50x = 2,977,713,927.38
  5. Step 5: Solve for x
    x = 2,977,713,927.38/71,967.50
  6. Step 6: Final answer
    x = 41,375.81

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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.