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Finding the Fourth Proportional to 69,193.43, 103,709.50 and 31,757.46

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Solution

The fourth proportional to 69,193.43, 103,709.50 and 31,757.46 is: 47,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,193.43 : 103,709.50 = 31,757.46 : x
  2. Step 2: Convert to fraction form
    69,193.43/103,709.50 = 31,757.46/x
  3. Step 3: Cross multiply
    69,193.43x = 103,709.50 × 31,757.46
  4. Step 4: Simplify right side
    69,193.43x = 3,293,550,297.87
  5. Step 5: Solve for x
    x = 3,293,550,297.87/69,193.43
  6. Step 6: Final answer
    x = 47,599.18

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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.