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Finding the Fourth Proportional to 82,040.40, 113,283 and 51,874.56

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Solution

The fourth proportional to 82,040.40, 113,283 and 51,874.56 is: 71,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,040.40 : 113,283 = 51,874.56 : x
  2. Step 2: Convert to fraction form
    82,040.40/113,283 = 51,874.56/x
  3. Step 3: Cross multiply
    82,040.40x = 113,283 × 51,874.56
  4. Step 4: Simplify right side
    82,040.40x = 5,876,505,780.48
  5. Step 5: Solve for x
    x = 5,876,505,780.48/82,040.40
  6. Step 6: Final answer
    x = 71,629.41

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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.