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Finding the Fourth Proportional to 71,290.88, 106,932.91 and 23,906.64

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Solution

The fourth proportional to 71,290.88, 106,932.91 and 23,906.64 is: 35,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290.88 : 106,932.91 = 23,906.64 : x
  2. Step 2: Convert to fraction form
    71,290.88/106,932.91 = 23,906.64/x
  3. Step 3: Cross multiply
    71,290.88x = 106,932.91 × 23,906.64
  4. Step 4: Simplify right side
    71,290.88x = 2,556,406,969.58
  5. Step 5: Solve for x
    x = 2,556,406,969.58/71,290.88
  6. Step 6: Final answer
    x = 35,858.82

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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.