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Finding the Fourth Proportional to 82,099.14, 113,308.56 and 59,512.91

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Solution

The fourth proportional to 82,099.14, 113,308.56 and 59,512.91 is: 82,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,099.14 : 113,308.56 = 59,512.91 : x
  2. Step 2: Convert to fraction form
    82,099.14/113,308.56 = 59,512.91/x
  3. Step 3: Cross multiply
    82,099.14x = 113,308.56 × 59,512.91
  4. Step 4: Simplify right side
    82,099.14x = 6,743,321,566.97
  5. Step 5: Solve for x
    x = 6,743,321,566.97/82,099.14
  6. Step 6: Final answer
    x = 82,136.32

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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.