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Finding the Fourth Proportional to 69,152.44, 103,824.20 and 47,754.96

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Solution

The fourth proportional to 69,152.44, 103,824.20 and 47,754.96 is: 71,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152.44 : 103,824.20 = 47,754.96 : x
  2. Step 2: Convert to fraction form
    69,152.44/103,824.20 = 47,754.96/x
  3. Step 3: Cross multiply
    69,152.44x = 103,824.20 × 47,754.96
  4. Step 4: Simplify right side
    69,152.44x = 4,958,120,518.03
  5. Step 5: Solve for x
    x = 4,958,120,518.03/69,152.44
  6. Step 6: Final answer
    x = 71,698.42

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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.