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Finding the Fourth Proportional to 33,865.76, 50,801.08 and 11,678.82

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Solution

The fourth proportional to 33,865.76, 50,801.08 and 11,678.82 is: 17,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865.76 : 50,801.08 = 11,678.82 : x
  2. Step 2: Convert to fraction form
    33,865.76/50,801.08 = 11,678.82/x
  3. Step 3: Cross multiply
    33,865.76x = 50,801.08 × 11,678.82
  4. Step 4: Simplify right side
    33,865.76x = 593,296,566.57
  5. Step 5: Solve for x
    x = 593,296,566.57/33,865.76
  6. Step 6: Final answer
    x = 17,519.07

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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.