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Finding the Fourth Proportional to 69,191.43, 103,706.50 and 31,755.46

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Solution

The fourth proportional to 69,191.43, 103,706.50 and 31,755.46 is: 47,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,191.43 : 103,706.50 = 31,755.46 : x
  2. Step 2: Convert to fraction form
    69,191.43/103,706.50 = 31,755.46/x
  3. Step 3: Cross multiply
    69,191.43x = 103,706.50 × 31,755.46
  4. Step 4: Simplify right side
    69,191.43x = 3,293,247,612.49
  5. Step 5: Solve for x
    x = 3,293,247,612.49/69,191.43
  6. Step 6: Final answer
    x = 47,596.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.