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Finding the Fourth Proportional to 33,158.46, 45,745.13 and 20,407.80

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Solution

The fourth proportional to 33,158.46, 45,745.13 and 20,407.80 is: 28,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158.46 : 45,745.13 = 20,407.80 : x
  2. Step 2: Convert to fraction form
    33,158.46/45,745.13 = 20,407.80/x
  3. Step 3: Cross multiply
    33,158.46x = 45,745.13 × 20,407.80
  4. Step 4: Simplify right side
    33,158.46x = 933,557,371.86
  5. Step 5: Solve for x
    x = 933,557,371.86/33,158.46
  6. Step 6: Final answer
    x = 28,154.42

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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.