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Finding the Fourth Proportional to 33,433.50, 46,138.24 and 20,005.32

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Solution

The fourth proportional to 33,433.50, 46,138.24 and 20,005.32 is: 27,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433.50 : 46,138.24 = 20,005.32 : x
  2. Step 2: Convert to fraction form
    33,433.50/46,138.24 = 20,005.32/x
  3. Step 3: Cross multiply
    33,433.50x = 46,138.24 × 20,005.32
  4. Step 4: Simplify right side
    33,433.50x = 923,010,255.44
  5. Step 5: Solve for x
    x = 923,010,255.44/33,433.50
  6. Step 6: Final answer
    x = 27,607.35

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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.