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Finding the Fourth Proportional to 50,467.64, 69,645.42 and 27,497.36

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Solution

The fourth proportional to 50,467.64, 69,645.42 and 27,497.36 is: 37,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467.64 : 69,645.42 = 27,497.36 : x
  2. Step 2: Convert to fraction form
    50,467.64/69,645.42 = 27,497.36/x
  3. Step 3: Cross multiply
    50,467.64x = 69,645.42 × 27,497.36
  4. Step 4: Simplify right side
    50,467.64x = 1,915,064,837.86
  5. Step 5: Solve for x
    x = 1,915,064,837.86/50,467.64
  6. Step 6: Final answer
    x = 37,946.39

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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.