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Finding the Fourth Proportional to 82,161.75, 113,383.22 and 44,436

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Solution

The fourth proportional to 82,161.75, 113,383.22 and 44,436 is: 61,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.75 : 113,383.22 = 44,436 : x
  2. Step 2: Convert to fraction form
    82,161.75/113,383.22 = 44,436/x
  3. Step 3: Cross multiply
    82,161.75x = 113,383.22 × 44,436
  4. Step 4: Simplify right side
    82,161.75x = 5,038,296,541.74
  5. Step 5: Solve for x
    x = 5,038,296,541.74/82,161.75
  6. Step 6: Final answer
    x = 61,321.68

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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.