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Finding the Fourth Proportional to 33,478.56, 46,201.86 and 20,052

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Solution

The fourth proportional to 33,478.56, 46,201.86 and 20,052 is: 27,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.56 : 46,201.86 = 20,052 : x
  2. Step 2: Convert to fraction form
    33,478.56/46,201.86 = 20,052/x
  3. Step 3: Cross multiply
    33,478.56x = 46,201.86 × 20,052
  4. Step 4: Simplify right side
    33,478.56x = 926,439,696.72
  5. Step 5: Solve for x
    x = 926,439,696.72/33,478.56
  6. Step 6: Final answer
    x = 27,672.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.