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Finding the Fourth Proportional to 70,084.49, 96,729.14 and 41,792

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Solution

The fourth proportional to 70,084.49, 96,729.14 and 41,792 is: 57,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,084.49 : 96,729.14 = 41,792 : x
  2. Step 2: Convert to fraction form
    70,084.49/96,729.14 = 41,792/x
  3. Step 3: Cross multiply
    70,084.49x = 96,729.14 × 41,792
  4. Step 4: Simplify right side
    70,084.49x = 4,042,504,218.88
  5. Step 5: Solve for x
    x = 4,042,504,218.88/70,084.49
  6. Step 6: Final answer
    x = 57,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.