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Finding the Fourth Proportional to 36,085.98, 49,798.44 and 20,170.38

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Solution

The fourth proportional to 36,085.98, 49,798.44 and 20,170.38 is: 27,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.98 : 49,798.44 = 20,170.38 : x
  2. Step 2: Convert to fraction form
    36,085.98/49,798.44 = 20,170.38/x
  3. Step 3: Cross multiply
    36,085.98x = 49,798.44 × 20,170.38
  4. Step 4: Simplify right side
    36,085.98x = 1,004,453,458.21
  5. Step 5: Solve for x
    x = 1,004,453,458.21/36,085.98
  6. Step 6: Final answer
    x = 27,835.01

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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.