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Finding the Fourth Proportional to 33,783, 50,674.62 and 9,159

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Solution

The fourth proportional to 33,783, 50,674.62 and 9,159 is: 13,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783 : 50,674.62 = 9,159 : x
  2. Step 2: Convert to fraction form
    33,783/50,674.62 = 9,159/x
  3. Step 3: Cross multiply
    33,783x = 50,674.62 × 9,159
  4. Step 4: Simplify right side
    33,783x = 464,128,844.58
  5. Step 5: Solve for x
    x = 464,128,844.58/33,783
  6. Step 6: Final answer
    x = 13,738.53

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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.