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Finding the Fourth Proportional to 54,238.68, 74,858.24 and 32,433.48

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Solution

The fourth proportional to 54,238.68, 74,858.24 and 32,433.48 is: 44,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.68 : 74,858.24 = 32,433.48 : x
  2. Step 2: Convert to fraction form
    54,238.68/74,858.24 = 32,433.48/x
  3. Step 3: Cross multiply
    54,238.68x = 74,858.24 × 32,433.48
  4. Step 4: Simplify right side
    54,238.68x = 2,427,913,310.96
  5. Step 5: Solve for x
    x = 2,427,913,310.96/54,238.68
  6. Step 6: Final answer
    x = 44,763.50

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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.