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Finding the Fourth Proportional to 82,003.60, 113,112.48 and 51,735.52

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Solution

The fourth proportional to 82,003.60, 113,112.48 and 51,735.52 is: 71,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.60 : 113,112.48 = 51,735.52 : x
  2. Step 2: Convert to fraction form
    82,003.60/113,112.48 = 51,735.52/x
  3. Step 3: Cross multiply
    82,003.60x = 113,112.48 × 51,735.52
  4. Step 4: Simplify right side
    82,003.60x = 5,851,932,971.29
  5. Step 5: Solve for x
    x = 5,851,932,971.29/82,003.60
  6. Step 6: Final answer
    x = 71,361.90

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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.