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Finding the Fourth Proportional to 50,041.52, 69,057 and 27,380.09

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Solution

The fourth proportional to 50,041.52, 69,057 and 27,380.09 is: 37,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,041.52 : 69,057 = 27,380.09 : x
  2. Step 2: Convert to fraction form
    50,041.52/69,057 = 27,380.09/x
  3. Step 3: Cross multiply
    50,041.52x = 69,057 × 27,380.09
  4. Step 4: Simplify right side
    50,041.52x = 1,890,787,047.77
  5. Step 5: Solve for x
    x = 1,890,787,047.77/50,041.52
  6. Step 6: Final answer
    x = 37,784.37

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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.