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Finding the Fourth Proportional to 106,576.29, 159,867 and 50,442.57

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Solution

The fourth proportional to 106,576.29, 159,867 and 50,442.57 is: 75,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576.29 : 159,867 = 50,442.57 : x
  2. Step 2: Convert to fraction form
    106,576.29/159,867 = 50,442.57/x
  3. Step 3: Cross multiply
    106,576.29x = 159,867 × 50,442.57
  4. Step 4: Simplify right side
    106,576.29x = 8,064,102,338.19
  5. Step 5: Solve for x
    x = 8,064,102,338.19/106,576.29
  6. Step 6: Final answer
    x = 75,665.07

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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.