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Finding the Fourth Proportional to 71,841.40, 107,755.45 and 33,881.96

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Solution

The fourth proportional to 71,841.40, 107,755.45 and 33,881.96 is: 50,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.40 : 107,755.45 = 33,881.96 : x
  2. Step 2: Convert to fraction form
    71,841.40/107,755.45 = 33,881.96/x
  3. Step 3: Cross multiply
    71,841.40x = 107,755.45 × 33,881.96
  4. Step 4: Simplify right side
    71,841.40x = 3,650,966,031.37
  5. Step 5: Solve for x
    x = 3,650,966,031.37/71,841.40
  6. Step 6: Final answer
    x = 50,819.81

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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.