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Finding the Fourth Proportional to 71,412.57, 107,084.43 and 27,010.80

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Solution

The fourth proportional to 71,412.57, 107,084.43 and 27,010.80 is: 40,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412.57 : 107,084.43 = 27,010.80 : x
  2. Step 2: Convert to fraction form
    71,412.57/107,084.43 = 27,010.80/x
  3. Step 3: Cross multiply
    71,412.57x = 107,084.43 × 27,010.80
  4. Step 4: Simplify right side
    71,412.57x = 2,892,436,121.84
  5. Step 5: Solve for x
    x = 2,892,436,121.84/71,412.57
  6. Step 6: Final answer
    x = 40,503.18

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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.