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Finding the Fourth Proportional to 71,713.71, 107,566.43 and 27,344.94

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Solution

The fourth proportional to 71,713.71, 107,566.43 and 27,344.94 is: 41,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713.71 : 107,566.43 = 27,344.94 : x
  2. Step 2: Convert to fraction form
    71,713.71/107,566.43 = 27,344.94/x
  3. Step 3: Cross multiply
    71,713.71x = 107,566.43 × 27,344.94
  4. Step 4: Simplify right side
    71,713.71x = 2,941,397,437.64
  5. Step 5: Solve for x
    x = 2,941,397,437.64/71,713.71
  6. Step 6: Final answer
    x = 41,015.83

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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.