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Finding the Fourth Proportional to 31,503.89, 47,239.41 and 14,859.44

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Solution

The fourth proportional to 31,503.89, 47,239.41 and 14,859.44 is: 22,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.89 : 47,239.41 = 14,859.44 : x
  2. Step 2: Convert to fraction form
    31,503.89/47,239.41 = 14,859.44/x
  3. Step 3: Cross multiply
    31,503.89x = 47,239.41 × 14,859.44
  4. Step 4: Simplify right side
    31,503.89x = 701,950,942.33
  5. Step 5: Solve for x
    x = 701,950,942.33/31,503.89
  6. Step 6: Final answer
    x = 22,281.41

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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.