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Finding the Fourth Proportional to 30,227.49, 45,344.61 and 8,041.73

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Solution

The fourth proportional to 30,227.49, 45,344.61 and 8,041.73 is: 12,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.49 : 45,344.61 = 8,041.73 : x
  2. Step 2: Convert to fraction form
    30,227.49/45,344.61 = 8,041.73/x
  3. Step 3: Cross multiply
    30,227.49x = 45,344.61 × 8,041.73
  4. Step 4: Simplify right side
    30,227.49x = 364,648,883.85
  5. Step 5: Solve for x
    x = 364,648,883.85/30,227.49
  6. Step 6: Final answer
    x = 12,063.49

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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.