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Finding the Fourth Proportional to 106,511.78, 159,771.72 and 35,440.76

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Solution

The fourth proportional to 106,511.78, 159,771.72 and 35,440.76 is: 53,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511.78 : 159,771.72 = 35,440.76 : x
  2. Step 2: Convert to fraction form
    106,511.78/159,771.72 = 35,440.76/x
  3. Step 3: Cross multiply
    106,511.78x = 159,771.72 × 35,440.76
  4. Step 4: Simplify right side
    106,511.78x = 5,662,431,183.31
  5. Step 5: Solve for x
    x = 5,662,431,183.31/106,511.78
  6. Step 6: Final answer
    x = 53,162.49

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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.