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Finding the Fourth Proportional to 82,296.33, 113,537.62 and 60,837.60

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Solution

The fourth proportional to 82,296.33, 113,537.62 and 60,837.60 is: 83,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296.33 : 113,537.62 = 60,837.60 : x
  2. Step 2: Convert to fraction form
    82,296.33/113,537.62 = 60,837.60/x
  3. Step 3: Cross multiply
    82,296.33x = 113,537.62 × 60,837.60
  4. Step 4: Simplify right side
    82,296.33x = 6,907,356,310.51
  5. Step 5: Solve for x
    x = 6,907,356,310.51/82,296.33
  6. Step 6: Final answer
    x = 83,932.74

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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.