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Finding the Fourth Proportional to 50,255.44, 69,349.80 and 27,898

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Solution

The fourth proportional to 50,255.44, 69,349.80 and 27,898 is: 38,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,255.44 : 69,349.80 = 27,898 : x
  2. Step 2: Convert to fraction form
    50,255.44/69,349.80 = 27,898/x
  3. Step 3: Cross multiply
    50,255.44x = 69,349.80 × 27,898
  4. Step 4: Simplify right side
    50,255.44x = 1,934,720,720.40
  5. Step 5: Solve for x
    x = 1,934,720,720.40/50,255.44
  6. Step 6: Final answer
    x = 38,497.74

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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.