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Finding the Fourth Proportional to 54,102.89, 74,660.60 and 30,229.76

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Solution

The fourth proportional to 54,102.89, 74,660.60 and 30,229.76 is: 41,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.89 : 74,660.60 = 30,229.76 : x
  2. Step 2: Convert to fraction form
    54,102.89/74,660.60 = 30,229.76/x
  3. Step 3: Cross multiply
    54,102.89x = 74,660.60 × 30,229.76
  4. Step 4: Simplify right side
    54,102.89x = 2,256,971,495.00
  5. Step 5: Solve for x
    x = 2,256,971,495.00/54,102.89
  6. Step 6: Final answer
    x = 41,716.29

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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.