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Finding the Fourth Proportional to 31,768.44, 47,659.59 and 12,047.19

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Solution

The fourth proportional to 31,768.44, 47,659.59 and 12,047.19 is: 18,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.44 : 47,659.59 = 12,047.19 : x
  2. Step 2: Convert to fraction form
    31,768.44/47,659.59 = 12,047.19/x
  3. Step 3: Cross multiply
    31,768.44x = 47,659.59 × 12,047.19
  4. Step 4: Simplify right side
    31,768.44x = 574,164,136.05
  5. Step 5: Solve for x
    x = 574,164,136.05/31,768.44
  6. Step 6: Final answer
    x = 18,073.41

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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.