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Finding the Fourth Proportional to 39,782.28, 54,899.72 and 21,878.44

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Solution

The fourth proportional to 39,782.28, 54,899.72 and 21,878.44 is: 30,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.28 : 54,899.72 = 21,878.44 : x
  2. Step 2: Convert to fraction form
    39,782.28/54,899.72 = 21,878.44/x
  3. Step 3: Cross multiply
    39,782.28x = 54,899.72 × 21,878.44
  4. Step 4: Simplify right side
    39,782.28x = 1,201,120,230.04
  5. Step 5: Solve for x
    x = 1,201,120,230.04/39,782.28
  6. Step 6: Final answer
    x = 30,192.34

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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.