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Finding the Fourth Proportional to 82,161.21, 113,382.46 and 44,435.46

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Solution

The fourth proportional to 82,161.21, 113,382.46 and 44,435.46 is: 61,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.21 : 113,382.46 = 44,435.46 : x
  2. Step 2: Convert to fraction form
    82,161.21/113,382.46 = 44,435.46/x
  3. Step 3: Cross multiply
    82,161.21x = 113,382.46 × 44,435.46
  4. Step 4: Simplify right side
    82,161.21x = 5,038,201,310.21
  5. Step 5: Solve for x
    x = 5,038,201,310.21/82,161.21
  6. Step 6: Final answer
    x = 61,320.93

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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.