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Finding the Fourth Proportional to 33,627.40, 50,443.86 and 13,902.28

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Solution

The fourth proportional to 33,627.40, 50,443.86 and 13,902.28 is: 20,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627.40 : 50,443.86 = 13,902.28 : x
  2. Step 2: Convert to fraction form
    33,627.40/50,443.86 = 13,902.28/x
  3. Step 3: Cross multiply
    33,627.40x = 50,443.86 × 13,902.28
  4. Step 4: Simplify right side
    33,627.40x = 701,284,666.00
  5. Step 5: Solve for x
    x = 701,284,666.00/33,627.40
  6. Step 6: Final answer
    x = 20,854.56

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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.