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Finding the Fourth Proportional to 36,077.88, 49,787.36 and 20,162.32

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Solution

The fourth proportional to 36,077.88, 49,787.36 and 20,162.32 is: 27,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.88 : 49,787.36 = 20,162.32 : x
  2. Step 2: Convert to fraction form
    36,077.88/49,787.36 = 20,162.32/x
  3. Step 3: Cross multiply
    36,077.88x = 49,787.36 × 20,162.32
  4. Step 4: Simplify right side
    36,077.88x = 1,003,828,684.28
  5. Step 5: Solve for x
    x = 1,003,828,684.28/36,077.88
  6. Step 6: Final answer
    x = 27,823.94

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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.