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Finding the Fourth Proportional to 27,300, 40,950 and 8,832

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Solution

The fourth proportional to 27,300, 40,950 and 8,832 is: 13,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 40,950 = 8,832 : x
  2. Step 2: Convert to fraction form
    27,300/40,950 = 8,832/x
  3. Step 3: Cross multiply
    27,300x = 40,950 × 8,832
  4. Step 4: Simplify right side
    27,300x = 361,670,400
  5. Step 5: Solve for x
    x = 361,670,400/27,300
  6. Step 6: Final answer
    x = 13,248

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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.