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Finding the Fourth Proportional to 39,782.30, 54,899.70 and 21,878.42

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Solution

The fourth proportional to 39,782.30, 54,899.70 and 21,878.42 is: 30,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.30 : 54,899.70 = 21,878.42 : x
  2. Step 2: Convert to fraction form
    39,782.30/54,899.70 = 21,878.42/x
  3. Step 3: Cross multiply
    39,782.30x = 54,899.70 × 21,878.42
  4. Step 4: Simplify right side
    39,782.30x = 1,201,118,694.47
  5. Step 5: Solve for x
    x = 1,201,118,694.47/39,782.30
  6. Step 6: Final answer
    x = 30,192.29

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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.