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Finding the Fourth Proportional to 27,640.26, 37,838.39 and 27,442.62

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Solution

The fourth proportional to 27,640.26, 37,838.39 and 27,442.62 is: 37,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.26 : 37,838.39 = 27,442.62 : x
  2. Step 2: Convert to fraction form
    27,640.26/37,838.39 = 27,442.62/x
  3. Step 3: Cross multiply
    27,640.26x = 37,838.39 × 27,442.62
  4. Step 4: Simplify right side
    27,640.26x = 1,038,384,420.97
  5. Step 5: Solve for x
    x = 1,038,384,420.97/27,640.26
  6. Step 6: Final answer
    x = 37,567.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.