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Finding the Fourth Proportional to 77,074.73, 115,614.49 and 20,914.62

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Solution

The fourth proportional to 77,074.73, 115,614.49 and 20,914.62 is: 31,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.73 : 115,614.49 = 20,914.62 : x
  2. Step 2: Convert to fraction form
    77,074.73/115,614.49 = 20,914.62/x
  3. Step 3: Cross multiply
    77,074.73x = 115,614.49 × 20,914.62
  4. Step 4: Simplify right side
    77,074.73x = 2,418,033,124.84
  5. Step 5: Solve for x
    x = 2,418,033,124.84/77,074.73
  6. Step 6: Final answer
    x = 31,372.58

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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.