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Finding the Fourth Proportional to 33,097.98, 49,630.80 and 11,743.46

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Solution

The fourth proportional to 33,097.98, 49,630.80 and 11,743.46 is: 17,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.98 : 49,630.80 = 11,743.46 : x
  2. Step 2: Convert to fraction form
    33,097.98/49,630.80 = 11,743.46/x
  3. Step 3: Cross multiply
    33,097.98x = 49,630.80 × 11,743.46
  4. Step 4: Simplify right side
    33,097.98x = 582,837,314.57
  5. Step 5: Solve for x
    x = 582,837,314.57/33,097.98
  6. Step 6: Final answer
    x = 17,609.45

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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.