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Finding the Fourth Proportional to 31,960.34, 47,940.47 and 8,586.78

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Solution

The fourth proportional to 31,960.34, 47,940.47 and 8,586.78 is: 12,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.34 : 47,940.47 = 8,586.78 : x
  2. Step 2: Convert to fraction form
    31,960.34/47,940.47 = 8,586.78/x
  3. Step 3: Cross multiply
    31,960.34x = 47,940.47 × 8,586.78
  4. Step 4: Simplify right side
    31,960.34x = 411,654,078.48
  5. Step 5: Solve for x
    x = 411,654,078.48/31,960.34
  6. Step 6: Final answer
    x = 12,880.15

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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.