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Finding the Fourth Proportional to 36,203.96, 49,958.74 and 20,285.34

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Solution

The fourth proportional to 36,203.96, 49,958.74 and 20,285.34 is: 27,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,203.96 : 49,958.74 = 20,285.34 : x
  2. Step 2: Convert to fraction form
    36,203.96/49,958.74 = 20,285.34/x
  3. Step 3: Cross multiply
    36,203.96x = 49,958.74 × 20,285.34
  4. Step 4: Simplify right side
    36,203.96x = 1,013,429,864.88
  5. Step 5: Solve for x
    x = 1,013,429,864.88/36,203.96
  6. Step 6: Final answer
    x = 27,992.24

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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.