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Finding the Fourth Proportional to 36,541.14, 50,426.75 and 19,774.14

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Solution

The fourth proportional to 36,541.14, 50,426.75 and 19,774.14 is: 27,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.14 : 50,426.75 = 19,774.14 : x
  2. Step 2: Convert to fraction form
    36,541.14/50,426.75 = 19,774.14/x
  3. Step 3: Cross multiply
    36,541.14x = 50,426.75 × 19,774.14
  4. Step 4: Simplify right side
    36,541.14x = 997,145,515.37
  5. Step 5: Solve for x
    x = 997,145,515.37/36,541.14
  6. Step 6: Final answer
    x = 27,288.30

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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.