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Finding the Fourth Proportional to 50,496.93, 69,682.63 and 27,834.75

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Solution

The fourth proportional to 50,496.93, 69,682.63 and 27,834.75 is: 38,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.93 : 69,682.63 = 27,834.75 : x
  2. Step 2: Convert to fraction form
    50,496.93/69,682.63 = 27,834.75/x
  3. Step 3: Cross multiply
    50,496.93x = 69,682.63 × 27,834.75
  4. Step 4: Simplify right side
    50,496.93x = 1,939,598,372.01
  5. Step 5: Solve for x
    x = 1,939,598,372.01/50,496.93
  6. Step 6: Final answer
    x = 38,410.23

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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.