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Finding the Fourth Proportional to 71,912.37, 107,884.12 and 27,539.12

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Solution

The fourth proportional to 71,912.37, 107,884.12 and 27,539.12 is: 41,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,912.37 : 107,884.12 = 27,539.12 : x
  2. Step 2: Convert to fraction form
    71,912.37/107,884.12 = 27,539.12/x
  3. Step 3: Cross multiply
    71,912.37x = 107,884.12 × 27,539.12
  4. Step 4: Simplify right side
    71,912.37x = 2,971,033,726.77
  5. Step 5: Solve for x
    x = 2,971,033,726.77/71,912.37
  6. Step 6: Final answer
    x = 41,314.64

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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.