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Finding the Fourth Proportional to 82,136.25, 113,348.16 and 44,410.50

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Solution

The fourth proportional to 82,136.25, 113,348.16 and 44,410.50 is: 61,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.25 : 113,348.16 = 44,410.50 : x
  2. Step 2: Convert to fraction form
    82,136.25/113,348.16 = 44,410.50/x
  3. Step 3: Cross multiply
    82,136.25x = 113,348.16 × 44,410.50
  4. Step 4: Simplify right side
    82,136.25x = 5,033,848,459.68
  5. Step 5: Solve for x
    x = 5,033,848,459.68/82,136.25
  6. Step 6: Final answer
    x = 61,286.56

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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.