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Finding the Fourth Proportional to 33,096, 49,644 and 9,721.92

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Solution

The fourth proportional to 33,096, 49,644 and 9,721.92 is: 14,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096 : 49,644 = 9,721.92 : x
  2. Step 2: Convert to fraction form
    33,096/49,644 = 9,721.92/x
  3. Step 3: Cross multiply
    33,096x = 49,644 × 9,721.92
  4. Step 4: Simplify right side
    33,096x = 482,634,996.48
  5. Step 5: Solve for x
    x = 482,634,996.48/33,096
  6. Step 6: Final answer
    x = 14,582.88

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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.