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Finding the Fourth Proportional to 71,476.57, 107,173.82 and 27,075

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Solution

The fourth proportional to 71,476.57, 107,173.82 and 27,075 is: 40,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476.57 : 107,173.82 = 27,075 : x
  2. Step 2: Convert to fraction form
    71,476.57/107,173.82 = 27,075/x
  3. Step 3: Cross multiply
    71,476.57x = 107,173.82 × 27,075
  4. Step 4: Simplify right side
    71,476.57x = 2,901,731,244.19
  5. Step 5: Solve for x
    x = 2,901,731,244.19/71,476.57
  6. Step 6: Final answer
    x = 40,596.96

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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.