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Finding the Fourth Proportional to 71,706.26, 98,839.64 and 48,729.40

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Solution

The fourth proportional to 71,706.26, 98,839.64 and 48,729.40 is: 67,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.26 : 98,839.64 = 48,729.40 : x
  2. Step 2: Convert to fraction form
    71,706.26/98,839.64 = 48,729.40/x
  3. Step 3: Cross multiply
    71,706.26x = 98,839.64 × 48,729.40
  4. Step 4: Simplify right side
    71,706.26x = 4,816,396,228.14
  5. Step 5: Solve for x
    x = 4,816,396,228.14/71,706.26
  6. Step 6: Final answer
    x = 67,168.42

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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.