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Finding the Fourth Proportional to 33,188.16, 45,782.12 and 19,749.84

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Solution

The fourth proportional to 33,188.16, 45,782.12 and 19,749.84 is: 27,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.16 : 45,782.12 = 19,749.84 : x
  2. Step 2: Convert to fraction form
    33,188.16/45,782.12 = 19,749.84/x
  3. Step 3: Cross multiply
    33,188.16x = 45,782.12 × 19,749.84
  4. Step 4: Simplify right side
    33,188.16x = 904,189,544.86
  5. Step 5: Solve for x
    x = 904,189,544.86/33,188.16
  6. Step 6: Final answer
    x = 27,244.34

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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.