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Finding the Fourth Proportional to 71,777, 107,666.46 and 22,529

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Solution

The fourth proportional to 71,777, 107,666.46 and 22,529 is: 33,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 107,666.46 = 22,529 : x
  2. Step 2: Convert to fraction form
    71,777/107,666.46 = 22,529/x
  3. Step 3: Cross multiply
    71,777x = 107,666.46 × 22,529
  4. Step 4: Simplify right side
    71,777x = 2,425,617,677.34
  5. Step 5: Solve for x
    x = 2,425,617,677.34/71,777
  6. Step 6: Final answer
    x = 33,793.80

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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.