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Finding the Fourth Proportional to 36,021.96, 49,705.20 and 20,916

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Solution

The fourth proportional to 36,021.96, 49,705.20 and 20,916 is: 28,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.96 : 49,705.20 = 20,916 : x
  2. Step 2: Convert to fraction form
    36,021.96/49,705.20 = 20,916/x
  3. Step 3: Cross multiply
    36,021.96x = 49,705.20 × 20,916
  4. Step 4: Simplify right side
    36,021.96x = 1,039,633,963.20
  5. Step 5: Solve for x
    x = 1,039,633,963.20/36,021.96
  6. Step 6: Final answer
    x = 28,861.12

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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.