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Finding the Fourth Proportional to 82,205.27, 113,431.11 and 49,923.10

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Solution

The fourth proportional to 82,205.27, 113,431.11 and 49,923.10 is: 68,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.27 : 113,431.11 = 49,923.10 : x
  2. Step 2: Convert to fraction form
    82,205.27/113,431.11 = 49,923.10/x
  3. Step 3: Cross multiply
    82,205.27x = 113,431.11 × 49,923.10
  4. Step 4: Simplify right side
    82,205.27x = 5,662,832,647.64
  5. Step 5: Solve for x
    x = 5,662,832,647.64/82,205.27
  6. Step 6: Final answer
    x = 68,886.49

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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.