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Finding the Fourth Proportional to 36,826.64, 50,850.72 and 30,021.72

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Solution

The fourth proportional to 36,826.64, 50,850.72 and 30,021.72 is: 41,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826.64 : 50,850.72 = 30,021.72 : x
  2. Step 2: Convert to fraction form
    36,826.64/50,850.72 = 30,021.72/x
  3. Step 3: Cross multiply
    36,826.64x = 50,850.72 × 30,021.72
  4. Step 4: Simplify right side
    36,826.64x = 1,526,626,077.64
  5. Step 5: Solve for x
    x = 1,526,626,077.64/36,826.64
  6. Step 6: Final answer
    x = 41,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.