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Finding the Fourth Proportional to 82,161.70, 113,382.50 and 44,435.95

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Solution

The fourth proportional to 82,161.70, 113,382.50 and 44,435.95 is: 61,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.70 : 113,382.50 = 44,435.95 : x
  2. Step 2: Convert to fraction form
    82,161.70/113,382.50 = 44,435.95/x
  3. Step 3: Cross multiply
    82,161.70x = 113,382.50 × 44,435.95
  4. Step 4: Simplify right side
    82,161.70x = 5,038,259,100.88
  5. Step 5: Solve for x
    x = 5,038,259,100.88/82,161.70
  6. Step 6: Final answer
    x = 61,321.26

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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.