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Finding the Fourth Proportional to 34,471.68, 47,571.11 and 19,364.98

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Solution

The fourth proportional to 34,471.68, 47,571.11 and 19,364.98 is: 26,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.68 : 47,571.11 = 19,364.98 : x
  2. Step 2: Convert to fraction form
    34,471.68/47,571.11 = 19,364.98/x
  3. Step 3: Cross multiply
    34,471.68x = 47,571.11 × 19,364.98
  4. Step 4: Simplify right side
    34,471.68x = 921,213,593.73
  5. Step 5: Solve for x
    x = 921,213,593.73/34,471.68
  6. Step 6: Final answer
    x = 26,723.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.