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Finding the Fourth Proportional to 50,242.26, 69,336.74 and 27,886.26

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Solution

The fourth proportional to 50,242.26, 69,336.74 and 27,886.26 is: 38,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242.26 : 69,336.74 = 27,886.26 : x
  2. Step 2: Convert to fraction form
    50,242.26/69,336.74 = 27,886.26/x
  3. Step 3: Cross multiply
    50,242.26x = 69,336.74 × 27,886.26
  4. Step 4: Simplify right side
    50,242.26x = 1,933,542,359.19
  5. Step 5: Solve for x
    x = 1,933,542,359.19/50,242.26
  6. Step 6: Final answer
    x = 38,484.38

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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.