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Finding the Fourth Proportional to 31,956.22, 47,936.49 and 23,294.62

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Solution

The fourth proportional to 31,956.22, 47,936.49 and 23,294.62 is: 34,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.22 : 47,936.49 = 23,294.62 : x
  2. Step 2: Convert to fraction form
    31,956.22/47,936.49 = 23,294.62/x
  3. Step 3: Cross multiply
    31,956.22x = 47,936.49 × 23,294.62
  4. Step 4: Simplify right side
    31,956.22x = 1,116,662,318.68
  5. Step 5: Solve for x
    x = 1,116,662,318.68/31,956.22
  6. Step 6: Final answer
    x = 34,943.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.