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Finding the Fourth Proportional to 36,076.52, 49,790.31 and 20,164.28

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Solution

The fourth proportional to 36,076.52, 49,790.31 and 20,164.28 is: 27,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.52 : 49,790.31 = 20,164.28 : x
  2. Step 2: Convert to fraction form
    36,076.52/49,790.31 = 20,164.28/x
  3. Step 3: Cross multiply
    36,076.52x = 49,790.31 × 20,164.28
  4. Step 4: Simplify right side
    36,076.52x = 1,003,985,752.13
  5. Step 5: Solve for x
    x = 1,003,985,752.13/36,076.52
  6. Step 6: Final answer
    x = 27,829.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.