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Finding the Fourth Proportional to 71,858.19, 107,795.13 and 27,522.57

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Solution

The fourth proportional to 71,858.19, 107,795.13 and 27,522.57 is: 41,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.19 : 107,795.13 = 27,522.57 : x
  2. Step 2: Convert to fraction form
    71,858.19/107,795.13 = 27,522.57/x
  3. Step 3: Cross multiply
    71,858.19x = 107,795.13 × 27,522.57
  4. Step 4: Simplify right side
    71,858.19x = 2,966,799,011.08
  5. Step 5: Solve for x
    x = 2,966,799,011.08/71,858.19
  6. Step 6: Final answer
    x = 41,286.86

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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.