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Finding the Fourth Proportional to 36,147.76, 49,914.68 and 22,741.44

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Solution

The fourth proportional to 36,147.76, 49,914.68 and 22,741.44 is: 31,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147.76 : 49,914.68 = 22,741.44 : x
  2. Step 2: Convert to fraction form
    36,147.76/49,914.68 = 22,741.44/x
  3. Step 3: Cross multiply
    36,147.76x = 49,914.68 × 22,741.44
  4. Step 4: Simplify right side
    36,147.76x = 1,135,131,700.34
  5. Step 5: Solve for x
    x = 1,135,131,700.34/36,147.76
  6. Step 6: Final answer
    x = 31,402.55

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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.