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Finding the Fourth Proportional to 31,679.35, 47,509.41 and 16,678.36

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Solution

The fourth proportional to 31,679.35, 47,509.41 and 16,678.36 is: 25,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.35 : 47,509.41 = 16,678.36 : x
  2. Step 2: Convert to fraction form
    31,679.35/47,509.41 = 16,678.36/x
  3. Step 3: Cross multiply
    31,679.35x = 47,509.41 × 16,678.36
  4. Step 4: Simplify right side
    31,679.35x = 792,379,043.37
  5. Step 5: Solve for x
    x = 792,379,043.37/31,679.35
  6. Step 6: Final answer
    x = 25,012.48

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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.