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Finding the Fourth Proportional to 50,178.44, 69,243.54 and 27,821

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Solution

The fourth proportional to 50,178.44, 69,243.54 and 27,821 is: 38,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.44 : 69,243.54 = 27,821 : x
  2. Step 2: Convert to fraction form
    50,178.44/69,243.54 = 27,821/x
  3. Step 3: Cross multiply
    50,178.44x = 69,243.54 × 27,821
  4. Step 4: Simplify right side
    50,178.44x = 1,926,424,526.34
  5. Step 5: Solve for x
    x = 1,926,424,526.34/50,178.44
  6. Step 6: Final answer
    x = 38,391.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.