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Finding the Fourth Proportional to 33,916, 50,882.64 and 12,864.64

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Solution

The fourth proportional to 33,916, 50,882.64 and 12,864.64 is: 19,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916 : 50,882.64 = 12,864.64 : x
  2. Step 2: Convert to fraction form
    33,916/50,882.64 = 12,864.64/x
  3. Step 3: Cross multiply
    33,916x = 50,882.64 × 12,864.64
  4. Step 4: Simplify right side
    33,916x = 654,586,845.85
  5. Step 5: Solve for x
    x = 654,586,845.85/33,916
  6. Step 6: Final answer
    x = 19,300.24

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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.