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Finding the Fourth Proportional to 27,503, 41,255.31 and 6,726.50

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Solution

The fourth proportional to 27,503, 41,255.31 and 6,726.50 is: 10,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503 : 41,255.31 = 6,726.50 : x
  2. Step 2: Convert to fraction form
    27,503/41,255.31 = 6,726.50/x
  3. Step 3: Cross multiply
    27,503x = 41,255.31 × 6,726.50
  4. Step 4: Simplify right side
    27,503x = 277,503,842.72
  5. Step 5: Solve for x
    x = 277,503,842.72/27,503
  6. Step 6: Final answer
    x = 10,089.95

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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.