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Finding the Fourth Proportional to 41,947.70, 57,889.02 and 23,084.82

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Solution

The fourth proportional to 41,947.70, 57,889.02 and 23,084.82 is: 31,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,947.70 : 57,889.02 = 23,084.82 : x
  2. Step 2: Convert to fraction form
    41,947.70/57,889.02 = 23,084.82/x
  3. Step 3: Cross multiply
    41,947.70x = 57,889.02 × 23,084.82
  4. Step 4: Simplify right side
    41,947.70x = 1,336,357,606.68
  5. Step 5: Solve for x
    x = 1,336,357,606.68/41,947.70
  6. Step 6: Final answer
    x = 31,857.71

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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.