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Finding the Fourth Proportional to 33,161.78, 45,745.80 and 20,564.66

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Solution

The fourth proportional to 33,161.78, 45,745.80 and 20,564.66 is: 28,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.78 : 45,745.80 = 20,564.66 : x
  2. Step 2: Convert to fraction form
    33,161.78/45,745.80 = 20,564.66/x
  3. Step 3: Cross multiply
    33,161.78x = 45,745.80 × 20,564.66
  4. Step 4: Simplify right side
    33,161.78x = 940,746,823.43
  5. Step 5: Solve for x
    x = 940,746,823.43/33,161.78
  6. Step 6: Final answer
    x = 28,368.41

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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.