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Finding the Fourth Proportional to 106,074.54, 159,111.81 and 49,879.71

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Solution

The fourth proportional to 106,074.54, 159,111.81 and 49,879.71 is: 74,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,074.54 : 159,111.81 = 49,879.71 : x
  2. Step 2: Convert to fraction form
    106,074.54/159,111.81 = 49,879.71/x
  3. Step 3: Cross multiply
    106,074.54x = 159,111.81 × 49,879.71
  4. Step 4: Simplify right side
    106,074.54x = 7,936,450,940.38
  5. Step 5: Solve for x
    x = 7,936,450,940.38/106,074.54
  6. Step 6: Final answer
    x = 74,819.57

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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.