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Finding the Fourth Proportional to 31,880.91, 43,996.71 and 17,542.38

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Solution

The fourth proportional to 31,880.91, 43,996.71 and 17,542.38 is: 24,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.91 : 43,996.71 = 17,542.38 : x
  2. Step 2: Convert to fraction form
    31,880.91/43,996.71 = 17,542.38/x
  3. Step 3: Cross multiply
    31,880.91x = 43,996.71 × 17,542.38
  4. Step 4: Simplify right side
    31,880.91x = 771,807,005.57
  5. Step 5: Solve for x
    x = 771,807,005.57/31,880.91
  6. Step 6: Final answer
    x = 24,209.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.