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Finding the Fourth Proportional to 82,047, 113,224.86 and 44,321.25

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Solution

The fourth proportional to 82,047, 113,224.86 and 44,321.25 is: 61,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047 : 113,224.86 = 44,321.25 : x
  2. Step 2: Convert to fraction form
    82,047/113,224.86 = 44,321.25/x
  3. Step 3: Cross multiply
    82,047x = 113,224.86 × 44,321.25
  4. Step 4: Simplify right side
    82,047x = 5,018,267,326.28
  5. Step 5: Solve for x
    x = 5,018,267,326.28/82,047
  6. Step 6: Final answer
    x = 61,163.33

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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.