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Finding the Fourth Proportional to 36,077.91, 49,787.26 and 20,162.22

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Solution

The fourth proportional to 36,077.91, 49,787.26 and 20,162.22 is: 27,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.91 : 49,787.26 = 20,162.22 : x
  2. Step 2: Convert to fraction form
    36,077.91/49,787.26 = 20,162.22/x
  3. Step 3: Cross multiply
    36,077.91x = 49,787.26 × 20,162.22
  4. Step 4: Simplify right side
    36,077.91x = 1,003,821,689.32
  5. Step 5: Solve for x
    x = 1,003,821,689.32/36,077.91
  6. Step 6: Final answer
    x = 27,823.72

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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.