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Finding the Fourth Proportional to 27,696.52, 41,509.50 and 19,920.52

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Solution

The fourth proportional to 27,696.52, 41,509.50 and 19,920.52 is: 29,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.52 : 41,509.50 = 19,920.52 : x
  2. Step 2: Convert to fraction form
    27,696.52/41,509.50 = 19,920.52/x
  3. Step 3: Cross multiply
    27,696.52x = 41,509.50 × 19,920.52
  4. Step 4: Simplify right side
    27,696.52x = 826,890,824.94
  5. Step 5: Solve for x
    x = 826,890,824.94/27,696.52
  6. Step 6: Final answer
    x = 29,855.41

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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.