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Finding the Fourth Proportional to 33,869, 50,769.84 and 22,750.14

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Solution

The fourth proportional to 33,869, 50,769.84 and 22,750.14 is: 34,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,869 : 50,769.84 = 22,750.14 : x
  2. Step 2: Convert to fraction form
    33,869/50,769.84 = 22,750.14/x
  3. Step 3: Cross multiply
    33,869x = 50,769.84 × 22,750.14
  4. Step 4: Simplify right side
    33,869x = 1,155,020,967.78
  5. Step 5: Solve for x
    x = 1,155,020,967.78/33,869
  6. Step 6: Final answer
    x = 34,102.60

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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.