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Finding the Fourth Proportional to 33,865.86, 50,725.08 and 20,678.25

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Solution

The fourth proportional to 33,865.86, 50,725.08 and 20,678.25 is: 30,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865.86 : 50,725.08 = 20,678.25 : x
  2. Step 2: Convert to fraction form
    33,865.86/50,725.08 = 20,678.25/x
  3. Step 3: Cross multiply
    33,865.86x = 50,725.08 × 20,678.25
  4. Step 4: Simplify right side
    33,865.86x = 1,048,905,885.51
  5. Step 5: Solve for x
    x = 1,048,905,885.51/33,865.86
  6. Step 6: Final answer
    x = 30,972.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.