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Finding the Fourth Proportional to 50,266.52, 75,371.07 and 20,660

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Solution

The fourth proportional to 50,266.52, 75,371.07 and 20,660 is: 30,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,266.52 : 75,371.07 = 20,660 : x
  2. Step 2: Convert to fraction form
    50,266.52/75,371.07 = 20,660/x
  3. Step 3: Cross multiply
    50,266.52x = 75,371.07 × 20,660
  4. Step 4: Simplify right side
    50,266.52x = 1,557,166,306.20
  5. Step 5: Solve for x
    x = 1,557,166,306.20/50,266.52
  6. Step 6: Final answer
    x = 30,978.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.