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Finding the Fourth Proportional to 71,084.26, 106,619.06 and 23,694.22

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Solution

The fourth proportional to 71,084.26, 106,619.06 and 23,694.22 is: 35,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.26 : 106,619.06 = 23,694.22 : x
  2. Step 2: Convert to fraction form
    71,084.26/106,619.06 = 23,694.22/x
  3. Step 3: Cross multiply
    71,084.26x = 106,619.06 × 23,694.22
  4. Step 4: Simplify right side
    71,084.26x = 2,526,255,463.83
  5. Step 5: Solve for x
    x = 2,526,255,463.83/71,084.26
  6. Step 6: Final answer
    x = 35,538.89

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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.