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Finding the Fourth Proportional to 106,042.26, 159,085.26 and 35,919.75

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Solution

The fourth proportional to 106,042.26, 159,085.26 and 35,919.75 is: 53,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042.26 : 159,085.26 = 35,919.75 : x
  2. Step 2: Convert to fraction form
    106,042.26/159,085.26 = 35,919.75/x
  3. Step 3: Cross multiply
    106,042.26x = 159,085.26 × 35,919.75
  4. Step 4: Simplify right side
    106,042.26x = 5,714,302,767.89
  5. Step 5: Solve for x
    x = 5,714,302,767.89/106,042.26
  6. Step 6: Final answer
    x = 53,887.03

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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.