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Finding the Fourth Proportional to 57,441.84, 79,268.96 and 31,947.96

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Solution

The fourth proportional to 57,441.84, 79,268.96 and 31,947.96 is: 44,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441.84 : 79,268.96 = 31,947.96 : x
  2. Step 2: Convert to fraction form
    57,441.84/79,268.96 = 31,947.96/x
  3. Step 3: Cross multiply
    57,441.84x = 79,268.96 × 31,947.96
  4. Step 4: Simplify right side
    57,441.84x = 2,532,481,563.32
  5. Step 5: Solve for x
    x = 2,532,481,563.32/57,441.84
  6. Step 6: Final answer
    x = 44,087.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.