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Finding the Fourth Proportional to 71,911.59, 107,882.94 and 27,538.34

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Solution

The fourth proportional to 71,911.59, 107,882.94 and 27,538.34 is: 41,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.59 : 107,882.94 = 27,538.34 : x
  2. Step 2: Convert to fraction form
    71,911.59/107,882.94 = 27,538.34/x
  3. Step 3: Cross multiply
    71,911.59x = 107,882.94 × 27,538.34
  4. Step 4: Simplify right side
    71,911.59x = 2,970,916,645.77
  5. Step 5: Solve for x
    x = 2,970,916,645.77/71,911.59
  6. Step 6: Final answer
    x = 41,313.46

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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.