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Finding the Fourth Proportional to 33,408.56, 46,072 and 19,977.64

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Solution

The fourth proportional to 33,408.56, 46,072 and 19,977.64 is: 27,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408.56 : 46,072 = 19,977.64 : x
  2. Step 2: Convert to fraction form
    33,408.56/46,072 = 19,977.64/x
  3. Step 3: Cross multiply
    33,408.56x = 46,072 × 19,977.64
  4. Step 4: Simplify right side
    33,408.56x = 920,409,830.08
  5. Step 5: Solve for x
    x = 920,409,830.08/33,408.56
  6. Step 6: Final answer
    x = 27,550.12

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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.