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Finding the Fourth Proportional to 71,668.26, 107,494.56 and 19,083.06

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Solution

The fourth proportional to 71,668.26, 107,494.56 and 19,083.06 is: 28,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668.26 : 107,494.56 = 19,083.06 : x
  2. Step 2: Convert to fraction form
    71,668.26/107,494.56 = 19,083.06/x
  3. Step 3: Cross multiply
    71,668.26x = 107,494.56 × 19,083.06
  4. Step 4: Simplify right side
    71,668.26x = 2,051,325,138.15
  5. Step 5: Solve for x
    x = 2,051,325,138.15/71,668.26
  6. Step 6: Final answer
    x = 28,622.51

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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.