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Finding the Fourth Proportional to 36,084.46, 49,798.89 and 20,169.58

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Solution

The fourth proportional to 36,084.46, 49,798.89 and 20,169.58 is: 27,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084.46 : 49,798.89 = 20,169.58 : x
  2. Step 2: Convert to fraction form
    36,084.46/49,798.89 = 20,169.58/x
  3. Step 3: Cross multiply
    36,084.46x = 49,798.89 × 20,169.58
  4. Step 4: Simplify right side
    36,084.46x = 1,004,422,695.77
  5. Step 5: Solve for x
    x = 1,004,422,695.77/36,084.46
  6. Step 6: Final answer
    x = 27,835.33

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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.