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Finding the Fourth Proportional to 31,369.75, 47,029.52 and 16,369.34

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Solution

The fourth proportional to 31,369.75, 47,029.52 and 16,369.34 is: 24,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369.75 : 47,029.52 = 16,369.34 : x
  2. Step 2: Convert to fraction form
    31,369.75/47,029.52 = 16,369.34/x
  3. Step 3: Cross multiply
    31,369.75x = 47,029.52 × 16,369.34
  4. Step 4: Simplify right side
    31,369.75x = 769,842,202.92
  5. Step 5: Solve for x
    x = 769,842,202.92/31,369.75
  6. Step 6: Final answer
    x = 24,540.91

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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.