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Finding the Fourth Proportional to 50,548.74, 69,757.50 and 27,888

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Solution

The fourth proportional to 50,548.74, 69,757.50 and 27,888 is: 38,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548.74 : 69,757.50 = 27,888 : x
  2. Step 2: Convert to fraction form
    50,548.74/69,757.50 = 27,888/x
  3. Step 3: Cross multiply
    50,548.74x = 69,757.50 × 27,888
  4. Step 4: Simplify right side
    50,548.74x = 1,945,397,160
  5. Step 5: Solve for x
    x = 1,945,397,160/50,548.74
  6. Step 6: Final answer
    x = 38,485.57

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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.