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Finding the Fourth Proportional to 33,866.28, 50,799.72 and 9,242.28

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Solution

The fourth proportional to 33,866.28, 50,799.72 and 9,242.28 is: 13,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,866.28 : 50,799.72 = 9,242.28 : x
  2. Step 2: Convert to fraction form
    33,866.28/50,799.72 = 9,242.28/x
  3. Step 3: Cross multiply
    33,866.28x = 50,799.72 × 9,242.28
  4. Step 4: Simplify right side
    33,866.28x = 469,505,236.16
  5. Step 5: Solve for x
    x = 469,505,236.16/33,866.28
  6. Step 6: Final answer
    x = 13,863.50

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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.