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Finding the Fourth Proportional to 36,085.74, 49,798.43 and 20,170.22

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Solution

The fourth proportional to 36,085.74, 49,798.43 and 20,170.22 is: 27,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.74 : 49,798.43 = 20,170.22 : x
  2. Step 2: Convert to fraction form
    36,085.74/49,798.43 = 20,170.22/x
  3. Step 3: Cross multiply
    36,085.74x = 49,798.43 × 20,170.22
  4. Step 4: Simplify right side
    36,085.74x = 1,004,445,014.55
  5. Step 5: Solve for x
    x = 1,004,445,014.55/36,085.74
  6. Step 6: Final answer
    x = 27,834.96

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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.