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Finding the Fourth Proportional to 31,759.77, 47,640.05 and 12,033.03

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Solution

The fourth proportional to 31,759.77, 47,640.05 and 12,033.03 is: 18,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.77 : 47,640.05 = 12,033.03 : x
  2. Step 2: Convert to fraction form
    31,759.77/47,640.05 = 12,033.03/x
  3. Step 3: Cross multiply
    31,759.77x = 47,640.05 × 12,033.03
  4. Step 4: Simplify right side
    31,759.77x = 573,254,150.85
  5. Step 5: Solve for x
    x = 573,254,150.85/31,759.77
  6. Step 6: Final answer
    x = 18,049.69

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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.