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Finding the Fourth Proportional to 50,448.70, 75,671.43 and 20,857.78

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Solution

The fourth proportional to 50,448.70, 75,671.43 and 20,857.78 is: 31,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.70 : 75,671.43 = 20,857.78 : x
  2. Step 2: Convert to fraction form
    50,448.70/75,671.43 = 20,857.78/x
  3. Step 3: Cross multiply
    50,448.70x = 75,671.43 × 20,857.78
  4. Step 4: Simplify right side
    50,448.70x = 1,578,338,039.23
  5. Step 5: Solve for x
    x = 1,578,338,039.23/50,448.70
  6. Step 6: Final answer
    x = 31,286.00

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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.