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Finding the Fourth Proportional to 105,644.75, 158,367.87 and 35,474.85

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Solution

The fourth proportional to 105,644.75, 158,367.87 and 35,474.85 is: 53,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644.75 : 158,367.87 = 35,474.85 : x
  2. Step 2: Convert to fraction form
    105,644.75/158,367.87 = 35,474.85/x
  3. Step 3: Cross multiply
    105,644.75x = 158,367.87 × 35,474.85
  4. Step 4: Simplify right side
    105,644.75x = 5,618,076,433.07
  5. Step 5: Solve for x
    x = 5,618,076,433.07/105,644.75
  6. Step 6: Final answer
    x = 53,178.95

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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.