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Finding the Fourth Proportional to 31,847.79, 47,771.62 and 8,474.23

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Solution

The fourth proportional to 31,847.79, 47,771.62 and 8,474.23 is: 12,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.79 : 47,771.62 = 8,474.23 : x
  2. Step 2: Convert to fraction form
    31,847.79/47,771.62 = 8,474.23/x
  3. Step 3: Cross multiply
    31,847.79x = 47,771.62 × 8,474.23
  4. Step 4: Simplify right side
    31,847.79x = 404,827,554.74
  5. Step 5: Solve for x
    x = 404,827,554.74/31,847.79
  6. Step 6: Final answer
    x = 12,711.32

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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.