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Finding the Fourth Proportional to 31,957.95, 47,936.91 and 8,584.38

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Solution

The fourth proportional to 31,957.95, 47,936.91 and 8,584.38 is: 12,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.95 : 47,936.91 = 8,584.38 : x
  2. Step 2: Convert to fraction form
    31,957.95/47,936.91 = 8,584.38/x
  3. Step 3: Cross multiply
    31,957.95x = 47,936.91 × 8,584.38
  4. Step 4: Simplify right side
    31,957.95x = 411,508,651.47
  5. Step 5: Solve for x
    x = 411,508,651.47/31,957.95
  6. Step 6: Final answer
    x = 12,876.57

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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.