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Finding the Fourth Proportional to 106,039.92, 159,055.73 and 35,919.23

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Solution

The fourth proportional to 106,039.92, 159,055.73 and 35,919.23 is: 53,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.92 : 159,055.73 = 35,919.23 : x
  2. Step 2: Convert to fraction form
    106,039.92/159,055.73 = 35,919.23/x
  3. Step 3: Cross multiply
    106,039.92x = 159,055.73 × 35,919.23
  4. Step 4: Simplify right side
    106,039.92x = 5,713,159,169.09
  5. Step 5: Solve for x
    x = 5,713,159,169.09/106,039.92
  6. Step 6: Final answer
    x = 53,877.44

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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.