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Finding the Fourth Proportional to 54,573.89, 81,857.50 and 32,097

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Solution

The fourth proportional to 54,573.89, 81,857.50 and 32,097 is: 48,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,573.89 : 81,857.50 = 32,097 : x
  2. Step 2: Convert to fraction form
    54,573.89/81,857.50 = 32,097/x
  3. Step 3: Cross multiply
    54,573.89x = 81,857.50 × 32,097
  4. Step 4: Simplify right side
    54,573.89x = 2,627,380,097.26
  5. Step 5: Solve for x
    x = 2,627,380,097.26/54,573.89
  6. Step 6: Final answer
    x = 48,143.53

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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.