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Finding the Fourth Proportional to 27,578, 41,367.82 and 6,801.50

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Solution

The fourth proportional to 27,578, 41,367.82 and 6,801.50 is: 10,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578 : 41,367.82 = 6,801.50 : x
  2. Step 2: Convert to fraction form
    27,578/41,367.82 = 6,801.50/x
  3. Step 3: Cross multiply
    27,578x = 41,367.82 × 6,801.50
  4. Step 4: Simplify right side
    27,578x = 281,363,227.73
  5. Step 5: Solve for x
    x = 281,363,227.73/27,578
  6. Step 6: Final answer
    x = 10,202.45

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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.