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Finding the Fourth Proportional to 33,274.96, 49,911.76 and 11,089.96

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Solution

The fourth proportional to 33,274.96, 49,911.76 and 11,089.96 is: 16,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.96 : 49,911.76 = 11,089.96 : x
  2. Step 2: Convert to fraction form
    33,274.96/49,911.76 = 11,089.96/x
  3. Step 3: Cross multiply
    33,274.96x = 49,911.76 × 11,089.96
  4. Step 4: Simplify right side
    33,274.96x = 553,519,421.93
  5. Step 5: Solve for x
    x = 553,519,421.93/33,274.96
  6. Step 6: Final answer
    x = 16,634.71

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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.