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Finding the Fourth Proportional to 31,880.82, 47,821.23 and 9,694.38

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Solution

The fourth proportional to 31,880.82, 47,821.23 and 9,694.38 is: 14,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.82 : 47,821.23 = 9,694.38 : x
  2. Step 2: Convert to fraction form
    31,880.82/47,821.23 = 9,694.38/x
  3. Step 3: Cross multiply
    31,880.82x = 47,821.23 × 9,694.38
  4. Step 4: Simplify right side
    31,880.82x = 463,597,175.69
  5. Step 5: Solve for x
    x = 463,597,175.69/31,880.82
  6. Step 6: Final answer
    x = 14,541.57

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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.