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Finding the Fourth Proportional to 54,208.29, 74,793.22 and 31,232.48

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Solution

The fourth proportional to 54,208.29, 74,793.22 and 31,232.48 is: 43,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,208.29 : 74,793.22 = 31,232.48 : x
  2. Step 2: Convert to fraction form
    54,208.29/74,793.22 = 31,232.48/x
  3. Step 3: Cross multiply
    54,208.29x = 74,793.22 × 31,232.48
  4. Step 4: Simplify right side
    54,208.29x = 2,335,977,856.69
  5. Step 5: Solve for x
    x = 2,335,977,856.69/54,208.29
  6. Step 6: Final answer
    x = 43,092.63

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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.