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Finding the Fourth Proportional to 50,678.57, 75,977.40 and 25,361.31

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Solution

The fourth proportional to 50,678.57, 75,977.40 and 25,361.31 is: 38,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.57 : 75,977.40 = 25,361.31 : x
  2. Step 2: Convert to fraction form
    50,678.57/75,977.40 = 25,361.31/x
  3. Step 3: Cross multiply
    50,678.57x = 75,977.40 × 25,361.31
  4. Step 4: Simplify right side
    50,678.57x = 1,926,886,394.39
  5. Step 5: Solve for x
    x = 1,926,886,394.39/50,678.57
  6. Step 6: Final answer
    x = 38,021.72

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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.