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Finding the Fourth Proportional to 31,571.88, 47,099.04 and 30,713.82

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Solution

The fourth proportional to 31,571.88, 47,099.04 and 30,713.82 is: 45,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.88 : 47,099.04 = 30,713.82 : x
  2. Step 2: Convert to fraction form
    31,571.88/47,099.04 = 30,713.82/x
  3. Step 3: Cross multiply
    31,571.88x = 47,099.04 × 30,713.82
  4. Step 4: Simplify right side
    31,571.88x = 1,446,591,436.73
  5. Step 5: Solve for x
    x = 1,446,591,436.73/31,571.88
  6. Step 6: Final answer
    x = 45,818.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.