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Finding the Fourth Proportional to 50,557.42, 69,769.11 and 27,896.59

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Solution

The fourth proportional to 50,557.42, 69,769.11 and 27,896.59 is: 38,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,557.42 : 69,769.11 = 27,896.59 : x
  2. Step 2: Convert to fraction form
    50,557.42/69,769.11 = 27,896.59/x
  3. Step 3: Cross multiply
    50,557.42x = 69,769.11 × 27,896.59
  4. Step 4: Simplify right side
    50,557.42x = 1,946,320,256.33
  5. Step 5: Solve for x
    x = 1,946,320,256.33/50,557.42
  6. Step 6: Final answer
    x = 38,497.22

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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.