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Finding the Fourth Proportional to 36,323.91, 50,127.75 and 20,409.38

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Solution

The fourth proportional to 36,323.91, 50,127.75 and 20,409.38 is: 28,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,323.91 : 50,127.75 = 20,409.38 : x
  2. Step 2: Convert to fraction form
    36,323.91/50,127.75 = 20,409.38/x
  3. Step 3: Cross multiply
    36,323.91x = 50,127.75 × 20,409.38
  4. Step 4: Simplify right side
    36,323.91x = 1,023,076,047.66
  5. Step 5: Solve for x
    x = 1,023,076,047.66/36,323.91
  6. Step 6: Final answer
    x = 28,165.36

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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.