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Finding the Fourth Proportional to 36,106.88, 49,826.44 and 20,192.80

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Solution

The fourth proportional to 36,106.88, 49,826.44 and 20,192.80 is: 27,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.88 : 49,826.44 = 20,192.80 : x
  2. Step 2: Convert to fraction form
    36,106.88/49,826.44 = 20,192.80/x
  3. Step 3: Cross multiply
    36,106.88x = 49,826.44 × 20,192.80
  4. Step 4: Simplify right side
    36,106.88x = 1,006,135,337.63
  5. Step 5: Solve for x
    x = 1,006,135,337.63/36,106.88
  6. Step 6: Final answer
    x = 27,865.47

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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.