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Finding the Fourth Proportional to 69,241.98, 103,821.42 and 31,755.08

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Solution

The fourth proportional to 69,241.98, 103,821.42 and 31,755.08 is: 47,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,241.98 : 103,821.42 = 31,755.08 : x
  2. Step 2: Convert to fraction form
    69,241.98/103,821.42 = 31,755.08/x
  3. Step 3: Cross multiply
    69,241.98x = 103,821.42 × 31,755.08
  4. Step 4: Simplify right side
    69,241.98x = 3,296,857,497.81
  5. Step 5: Solve for x
    x = 3,296,857,497.81/69,241.98
  6. Step 6: Final answer
    x = 47,613.56

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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.