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Finding the Fourth Proportional to 36,210.96, 54,236.16 and 27,829.26

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Solution

The fourth proportional to 36,210.96, 54,236.16 and 27,829.26 is: 41,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,210.96 : 54,236.16 = 27,829.26 : x
  2. Step 2: Convert to fraction form
    36,210.96/54,236.16 = 27,829.26/x
  3. Step 3: Cross multiply
    36,210.96x = 54,236.16 × 27,829.26
  4. Step 4: Simplify right side
    36,210.96x = 1,509,352,198.04
  5. Step 5: Solve for x
    x = 1,509,352,198.04/36,210.96
  6. Step 6: Final answer
    x = 41,682.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.