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Finding the Fourth Proportional to 53,196.63, 73,376.52 and 32,768.24

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Solution

The fourth proportional to 53,196.63, 73,376.52 and 32,768.24 is: 45,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196.63 : 73,376.52 = 32,768.24 : x
  2. Step 2: Convert to fraction form
    53,196.63/73,376.52 = 32,768.24/x
  3. Step 3: Cross multiply
    53,196.63x = 73,376.52 × 32,768.24
  4. Step 4: Simplify right side
    53,196.63x = 2,404,419,050.84
  5. Step 5: Solve for x
    x = 2,404,419,050.84/53,196.63
  6. Step 6: Final answer
    x = 45,198.71

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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.