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Finding the Fourth Proportional to 36,830.32, 50,825.85 and 20,063.32

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Solution

The fourth proportional to 36,830.32, 50,825.85 and 20,063.32 is: 27,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830.32 : 50,825.85 = 20,063.32 : x
  2. Step 2: Convert to fraction form
    36,830.32/50,825.85 = 20,063.32/x
  3. Step 3: Cross multiply
    36,830.32x = 50,825.85 × 20,063.32
  4. Step 4: Simplify right side
    36,830.32x = 1,019,735,292.82
  5. Step 5: Solve for x
    x = 1,019,735,292.82/36,830.32
  6. Step 6: Final answer
    x = 27,687.39

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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.