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Finding the Fourth Proportional to 105,961.65, 158,843.66 and 35,791.89

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Solution

The fourth proportional to 105,961.65, 158,843.66 and 35,791.89 is: 53,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,961.65 : 158,843.66 = 35,791.89 : x
  2. Step 2: Convert to fraction form
    105,961.65/158,843.66 = 35,791.89/x
  3. Step 3: Cross multiply
    105,961.65x = 158,843.66 × 35,791.89
  4. Step 4: Simplify right side
    105,961.65x = 5,685,314,626.96
  5. Step 5: Solve for x
    x = 5,685,314,626.96/105,961.65
  6. Step 6: Final answer
    x = 53,654.46

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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.