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Finding the Fourth Proportional to 39,734.33, 54,834.37 and 21,831

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Solution

The fourth proportional to 39,734.33, 54,834.37 and 21,831 is: 30,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,734.33 : 54,834.37 = 21,831 : x
  2. Step 2: Convert to fraction form
    39,734.33/54,834.37 = 21,831/x
  3. Step 3: Cross multiply
    39,734.33x = 54,834.37 × 21,831
  4. Step 4: Simplify right side
    39,734.33x = 1,197,089,131.47
  5. Step 5: Solve for x
    x = 1,197,089,131.47/39,734.33
  6. Step 6: Final answer
    x = 30,127.33

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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.