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Finding the Fourth Proportional to 82,161.06, 113,382.18 and 44,435.22

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Solution

The fourth proportional to 82,161.06, 113,382.18 and 44,435.22 is: 61,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.06 : 113,382.18 = 44,435.22 : x
  2. Step 2: Convert to fraction form
    82,161.06/113,382.18 = 44,435.22/x
  3. Step 3: Cross multiply
    82,161.06x = 113,382.18 × 44,435.22
  4. Step 4: Simplify right side
    82,161.06x = 5,038,162,112.38
  5. Step 5: Solve for x
    x = 5,038,162,112.38/82,161.06
  6. Step 6: Final answer
    x = 61,320.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.