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Finding the Fourth Proportional to 33,823.44, 50,674.97 and 28,842.55

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Solution

The fourth proportional to 33,823.44, 50,674.97 and 28,842.55 is: 43,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.44 : 50,674.97 = 28,842.55 : x
  2. Step 2: Convert to fraction form
    33,823.44/50,674.97 = 28,842.55/x
  3. Step 3: Cross multiply
    33,823.44x = 50,674.97 × 28,842.55
  4. Step 4: Simplify right side
    33,823.44x = 1,461,595,301.39
  5. Step 5: Solve for x
    x = 1,461,595,301.39/33,823.44
  6. Step 6: Final answer
    x = 43,212.50

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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.