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Finding the Fourth Proportional to 31,375.41, 47,072.33 and 12,645.84

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Solution

The fourth proportional to 31,375.41, 47,072.33 and 12,645.84 is: 18,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.41 : 47,072.33 = 12,645.84 : x
  2. Step 2: Convert to fraction form
    31,375.41/47,072.33 = 12,645.84/x
  3. Step 3: Cross multiply
    31,375.41x = 47,072.33 × 12,645.84
  4. Step 4: Simplify right side
    31,375.41x = 595,269,153.61
  5. Step 5: Solve for x
    x = 595,269,153.61/31,375.41
  6. Step 6: Final answer
    x = 18,972.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.