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Finding the Fourth Proportional to 36,093.97, 49,810.71 and 20,178.46

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Solution

The fourth proportional to 36,093.97, 49,810.71 and 20,178.46 is: 27,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,093.97 : 49,810.71 = 20,178.46 : x
  2. Step 2: Convert to fraction form
    36,093.97/49,810.71 = 20,178.46/x
  3. Step 3: Cross multiply
    36,093.97x = 49,810.71 × 20,178.46
  4. Step 4: Simplify right side
    36,093.97x = 1,005,103,419.31
  5. Step 5: Solve for x
    x = 1,005,103,419.31/36,093.97
  6. Step 6: Final answer
    x = 27,846.85

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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.