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Finding the Fourth Proportional to 54,951.44, 75,828.92 and 30,749.22

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Solution

The fourth proportional to 54,951.44, 75,828.92 and 30,749.22 is: 42,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.44 : 75,828.92 = 30,749.22 : x
  2. Step 2: Convert to fraction form
    54,951.44/75,828.92 = 30,749.22/x
  3. Step 3: Cross multiply
    54,951.44x = 75,828.92 × 30,749.22
  4. Step 4: Simplify right side
    54,951.44x = 2,331,679,989.70
  5. Step 5: Solve for x
    x = 2,331,679,989.70/54,951.44
  6. Step 6: Final answer
    x = 42,431.65

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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.