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Finding the Fourth Proportional to 38,940.74, 53,738.43 and 21,945.24

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Solution

The fourth proportional to 38,940.74, 53,738.43 and 21,945.24 is: 30,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940.74 : 53,738.43 = 21,945.24 : x
  2. Step 2: Convert to fraction form
    38,940.74/53,738.43 = 21,945.24/x
  3. Step 3: Cross multiply
    38,940.74x = 53,738.43 × 21,945.24
  4. Step 4: Simplify right side
    38,940.74x = 1,179,302,743.57
  5. Step 5: Solve for x
    x = 1,179,302,743.57/38,940.74
  6. Step 6: Final answer
    x = 30,284.55

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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.