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Finding the Fourth Proportional to 39,825.68, 54,959 and 21,920.30

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Solution

The fourth proportional to 39,825.68, 54,959 and 21,920.30 is: 30,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825.68 : 54,959 = 21,920.30 : x
  2. Step 2: Convert to fraction form
    39,825.68/54,959 = 21,920.30/x
  3. Step 3: Cross multiply
    39,825.68x = 54,959 × 21,920.30
  4. Step 4: Simplify right side
    39,825.68x = 1,204,717,767.70
  5. Step 5: Solve for x
    x = 1,204,717,767.70/39,825.68
  6. Step 6: Final answer
    x = 30,249.77

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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.