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Finding the Fourth Proportional to 71,770.73, 107,546.93 and 34,279.17

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Solution

The fourth proportional to 71,770.73, 107,546.93 and 34,279.17 is: 51,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.73 : 107,546.93 = 34,279.17 : x
  2. Step 2: Convert to fraction form
    71,770.73/107,546.93 = 34,279.17/x
  3. Step 3: Cross multiply
    71,770.73x = 107,546.93 × 34,279.17
  4. Step 4: Simplify right side
    71,770.73x = 3,686,619,325.05
  5. Step 5: Solve for x
    x = 3,686,619,325.05/71,770.73
  6. Step 6: Final answer
    x = 51,366.62

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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.