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Finding the Fourth Proportional to 47,768.16, 71,664.48 and 33,756

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Solution

The fourth proportional to 47,768.16, 71,664.48 and 33,756 is: 50,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.16 : 71,664.48 = 33,756 : x
  2. Step 2: Convert to fraction form
    47,768.16/71,664.48 = 33,756/x
  3. Step 3: Cross multiply
    47,768.16x = 71,664.48 × 33,756
  4. Step 4: Simplify right side
    47,768.16x = 2,419,106,186.88
  5. Step 5: Solve for x
    x = 2,419,106,186.88/47,768.16
  6. Step 6: Final answer
    x = 50,642.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.