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Finding the Fourth Proportional to 33,161.58, 45,745.86 and 20,564.46

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Solution

The fourth proportional to 33,161.58, 45,745.86 and 20,564.46 is: 28,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.58 : 45,745.86 = 20,564.46 : x
  2. Step 2: Convert to fraction form
    33,161.58/45,745.86 = 20,564.46/x
  3. Step 3: Cross multiply
    33,161.58x = 45,745.86 × 20,564.46
  4. Step 4: Simplify right side
    33,161.58x = 940,738,908.14
  5. Step 5: Solve for x
    x = 940,738,908.14/33,161.58
  6. Step 6: Final answer
    x = 28,368.34

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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.