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Finding the Fourth Proportional to 36,033, 49,721.49 and 20,923.80

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Solution

The fourth proportional to 36,033, 49,721.49 and 20,923.80 is: 28,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033 : 49,721.49 = 20,923.80 : x
  2. Step 2: Convert to fraction form
    36,033/49,721.49 = 20,923.80/x
  3. Step 3: Cross multiply
    36,033x = 49,721.49 × 20,923.80
  4. Step 4: Simplify right side
    36,033x = 1,040,362,512.46
  5. Step 5: Solve for x
    x = 1,040,362,512.46/36,033
  6. Step 6: Final answer
    x = 28,872.49

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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.