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Finding the Fourth Proportional to 33,184, 49,776 and 11,296

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Solution

The fourth proportional to 33,184, 49,776 and 11,296 is: 16,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184 : 49,776 = 11,296 : x
  2. Step 2: Convert to fraction form
    33,184/49,776 = 11,296/x
  3. Step 3: Cross multiply
    33,184x = 49,776 × 11,296
  4. Step 4: Simplify right side
    33,184x = 562,269,696
  5. Step 5: Solve for x
    x = 562,269,696/33,184
  6. Step 6: Final answer
    x = 16,944

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.