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Finding the Fourth Proportional to 82,131.97, 113,342.29 and 44,406.22

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Solution

The fourth proportional to 82,131.97, 113,342.29 and 44,406.22 is: 61,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.97 : 113,342.29 = 44,406.22 : x
  2. Step 2: Convert to fraction form
    82,131.97/113,342.29 = 44,406.22/x
  3. Step 3: Cross multiply
    82,131.97x = 113,342.29 × 44,406.22
  4. Step 4: Simplify right side
    82,131.97x = 5,033,102,554.03
  5. Step 5: Solve for x
    x = 5,033,102,554.03/82,131.97
  6. Step 6: Final answer
    x = 61,280.67

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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.