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Finding the Fourth Proportional to 33,274.26, 49,907.34 and 9,902.52

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Solution

The fourth proportional to 33,274.26, 49,907.34 and 9,902.52 is: 14,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.26 : 49,907.34 = 9,902.52 : x
  2. Step 2: Convert to fraction form
    33,274.26/49,907.34 = 9,902.52/x
  3. Step 3: Cross multiply
    33,274.26x = 49,907.34 × 9,902.52
  4. Step 4: Simplify right side
    33,274.26x = 494,208,432.50
  5. Step 5: Solve for x
    x = 494,208,432.50/33,274.26
  6. Step 6: Final answer
    x = 14,852.57

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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.