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Finding the Fourth Proportional to 36,664.71, 50,597.25 and 19,897.71

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Solution

The fourth proportional to 36,664.71, 50,597.25 and 19,897.71 is: 27,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,664.71 : 50,597.25 = 19,897.71 : x
  2. Step 2: Convert to fraction form
    36,664.71/50,597.25 = 19,897.71/x
  3. Step 3: Cross multiply
    36,664.71x = 50,597.25 × 19,897.71
  4. Step 4: Simplify right side
    36,664.71x = 1,006,769,407.30
  5. Step 5: Solve for x
    x = 1,006,769,407.30/36,664.71
  6. Step 6: Final answer
    x = 27,458.81

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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.