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Finding the Fourth Proportional to 77,375.09, 106,082.24 and 75,975.41

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Solution

The fourth proportional to 77,375.09, 106,082.24 and 75,975.41 is: 104,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,375.09 : 106,082.24 = 75,975.41 : x
  2. Step 2: Convert to fraction form
    77,375.09/106,082.24 = 75,975.41/x
  3. Step 3: Cross multiply
    77,375.09x = 106,082.24 × 75,975.41
  4. Step 4: Simplify right side
    77,375.09x = 8,059,640,767.43
  5. Step 5: Solve for x
    x = 8,059,640,767.43/77,375.09
  6. Step 6: Final answer
    x = 104,163.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.