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Finding the Fourth Proportional to 27,291, 40,936.50 and 8,823

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Solution

The fourth proportional to 27,291, 40,936.50 and 8,823 is: 13,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 40,936.50 = 8,823 : x
  2. Step 2: Convert to fraction form
    27,291/40,936.50 = 8,823/x
  3. Step 3: Cross multiply
    27,291x = 40,936.50 × 8,823
  4. Step 4: Simplify right side
    27,291x = 361,182,739.50
  5. Step 5: Solve for x
    x = 361,182,739.50/27,291
  6. Step 6: Final answer
    x = 13,234.50

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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.