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Finding the Fourth Proportional to 50,416.31, 75,583.14 and 20,855.36

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Solution

The fourth proportional to 50,416.31, 75,583.14 and 20,855.36 is: 31,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.31 : 75,583.14 = 20,855.36 : x
  2. Step 2: Convert to fraction form
    50,416.31/75,583.14 = 20,855.36/x
  3. Step 3: Cross multiply
    50,416.31x = 75,583.14 × 20,855.36
  4. Step 4: Simplify right side
    50,416.31x = 1,576,313,216.71
  5. Step 5: Solve for x
    x = 1,576,313,216.71/50,416.31
  6. Step 6: Final answer
    x = 31,265.94

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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.