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Finding the Fourth Proportional to 36,147.49, 49,883.79 and 20,233.42

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Solution

The fourth proportional to 36,147.49, 49,883.79 and 20,233.42 is: 27,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147.49 : 49,883.79 = 20,233.42 : x
  2. Step 2: Convert to fraction form
    36,147.49/49,883.79 = 20,233.42/x
  3. Step 3: Cross multiply
    36,147.49x = 49,883.79 × 20,233.42
  4. Step 4: Simplify right side
    36,147.49x = 1,009,319,674.26
  5. Step 5: Solve for x
    x = 1,009,319,674.26/36,147.49
  6. Step 6: Final answer
    x = 27,922.26

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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.