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Finding the Fourth Proportional to 27,292, 40,938 and 8,824

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Solution

The fourth proportional to 27,292, 40,938 and 8,824 is: 13,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 40,938 = 8,824 : x
  2. Step 2: Convert to fraction form
    27,292/40,938 = 8,824/x
  3. Step 3: Cross multiply
    27,292x = 40,938 × 8,824
  4. Step 4: Simplify right side
    27,292x = 361,236,912
  5. Step 5: Solve for x
    x = 361,236,912/27,292
  6. Step 6: Final answer
    x = 13,236

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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.