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Finding the Fourth Proportional to 82,121.98, 113,328.44 and 44,396.23

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Solution

The fourth proportional to 82,121.98, 113,328.44 and 44,396.23 is: 61,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,121.98 : 113,328.44 = 44,396.23 : x
  2. Step 2: Convert to fraction form
    82,121.98/113,328.44 = 44,396.23/x
  3. Step 3: Cross multiply
    82,121.98x = 113,328.44 × 44,396.23
  4. Step 4: Simplify right side
    82,121.98x = 5,031,355,167.58
  5. Step 5: Solve for x
    x = 5,031,355,167.58/82,121.98
  6. Step 6: Final answer
    x = 61,266.85

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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.