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Finding the Fourth Proportional to 69,241.97, 103,821.43 and 31,755.08

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Solution

The fourth proportional to 69,241.97, 103,821.43 and 31,755.08 is: 47,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,241.97 : 103,821.43 = 31,755.08 : x
  2. Step 2: Convert to fraction form
    69,241.97/103,821.43 = 31,755.08/x
  3. Step 3: Cross multiply
    69,241.97x = 103,821.43 × 31,755.08
  4. Step 4: Simplify right side
    69,241.97x = 3,296,857,815.36
  5. Step 5: Solve for x
    x = 3,296,857,815.36/69,241.97
  6. Step 6: Final answer
    x = 47,613.58

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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.