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Finding the Fourth Proportional to 36,019.49, 54,036.24 and 13,831.24

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Solution

The fourth proportional to 36,019.49, 54,036.24 and 13,831.24 is: 20,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.49 : 54,036.24 = 13,831.24 : x
  2. Step 2: Convert to fraction form
    36,019.49/54,036.24 = 13,831.24/x
  3. Step 3: Cross multiply
    36,019.49x = 54,036.24 × 13,831.24
  4. Step 4: Simplify right side
    36,019.49x = 747,388,069.05
  5. Step 5: Solve for x
    x = 747,388,069.05/36,019.49
  6. Step 6: Final answer
    x = 20,749.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.