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Finding the Fourth Proportional to 36,664.31, 50,597.36 and 19,897.31

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Solution

The fourth proportional to 36,664.31, 50,597.36 and 19,897.31 is: 27,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,664.31 : 50,597.36 = 19,897.31 : x
  2. Step 2: Convert to fraction form
    36,664.31/50,597.36 = 19,897.31/x
  3. Step 3: Cross multiply
    36,664.31x = 50,597.36 × 19,897.31
  4. Step 4: Simplify right side
    36,664.31x = 1,006,751,458.72
  5. Step 5: Solve for x
    x = 1,006,751,458.72/36,664.31
  6. Step 6: Final answer
    x = 27,458.62

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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.