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Finding the Fourth Proportional to 36,749, 50,713.62 and 19,982.12

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Solution

The fourth proportional to 36,749, 50,713.62 and 19,982.12 is: 27,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,749 : 50,713.62 = 19,982.12 : x
  2. Step 2: Convert to fraction form
    36,749/50,713.62 = 19,982.12/x
  3. Step 3: Cross multiply
    36,749x = 50,713.62 × 19,982.12
  4. Step 4: Simplify right side
    36,749x = 1,013,365,640.47
  5. Step 5: Solve for x
    x = 1,013,365,640.47/36,749
  6. Step 6: Final answer
    x = 27,575.33

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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.