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Finding the Fourth Proportional to 82,162, 113,383.60 and 44,436.24

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Solution

The fourth proportional to 82,162, 113,383.60 and 44,436.24 is: 61,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162 : 113,383.60 = 44,436.24 : x
  2. Step 2: Convert to fraction form
    82,162/113,383.60 = 44,436.24/x
  3. Step 3: Cross multiply
    82,162x = 113,383.60 × 44,436.24
  4. Step 4: Simplify right side
    82,162x = 5,038,340,861.66
  5. Step 5: Solve for x
    x = 5,038,340,861.66/82,162
  6. Step 6: Final answer
    x = 61,322.03

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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.