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Finding the Fourth Proportional to 82,205.73, 113,444.07 and 45,907

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Solution

The fourth proportional to 82,205.73, 113,444.07 and 45,907 is: 63,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.73 : 113,444.07 = 45,907 : x
  2. Step 2: Convert to fraction form
    82,205.73/113,444.07 = 45,907/x
  3. Step 3: Cross multiply
    82,205.73x = 113,444.07 × 45,907
  4. Step 4: Simplify right side
    82,205.73x = 5,207,876,921.49
  5. Step 5: Solve for x
    x = 5,207,876,921.49/82,205.73
  6. Step 6: Final answer
    x = 63,351.75

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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.