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Finding the Fourth Proportional to 82,047.39, 113,225.46 and 44,321.64

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Solution

The fourth proportional to 82,047.39, 113,225.46 and 44,321.64 is: 61,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.39 : 113,225.46 = 44,321.64 : x
  2. Step 2: Convert to fraction form
    82,047.39/113,225.46 = 44,321.64/x
  3. Step 3: Cross multiply
    82,047.39x = 113,225.46 × 44,321.64
  4. Step 4: Simplify right side
    82,047.39x = 5,018,338,076.95
  5. Step 5: Solve for x
    x = 5,018,338,076.95/82,047.39
  6. Step 6: Final answer
    x = 61,163.90

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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.