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Finding the Fourth Proportional to 33,863.54, 46,732.02 and 20,432.20

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Solution

The fourth proportional to 33,863.54, 46,732.02 and 20,432.20 is: 28,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.54 : 46,732.02 = 20,432.20 : x
  2. Step 2: Convert to fraction form
    33,863.54/46,732.02 = 20,432.20/x
  3. Step 3: Cross multiply
    33,863.54x = 46,732.02 × 20,432.20
  4. Step 4: Simplify right side
    33,863.54x = 954,837,745.38
  5. Step 5: Solve for x
    x = 954,837,745.38/33,863.54
  6. Step 6: Final answer
    x = 28,196.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.