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Finding the Fourth Proportional to 105,911.81, 158,862.85 and 35,791.73

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Solution

The fourth proportional to 105,911.81, 158,862.85 and 35,791.73 is: 53,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,911.81 : 158,862.85 = 35,791.73 : x
  2. Step 2: Convert to fraction form
    105,911.81/158,862.85 = 35,791.73/x
  3. Step 3: Cross multiply
    105,911.81x = 158,862.85 × 35,791.73
  4. Step 4: Simplify right side
    105,911.81x = 5,685,975,350.44
  5. Step 5: Solve for x
    x = 5,685,975,350.44/105,911.81
  6. Step 6: Final answer
    x = 53,685.95

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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.