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Finding the Fourth Proportional to 82,286.73, 113,553.36 and 48,752.73

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Solution

The fourth proportional to 82,286.73, 113,553.36 and 48,752.73 is: 67,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286.73 : 113,553.36 = 48,752.73 : x
  2. Step 2: Convert to fraction form
    82,286.73/113,553.36 = 48,752.73/x
  3. Step 3: Cross multiply
    82,286.73x = 113,553.36 × 48,752.73
  4. Step 4: Simplify right side
    82,286.73x = 5,536,036,300.67
  5. Step 5: Solve for x
    x = 5,536,036,300.67/82,286.73
  6. Step 6: Final answer
    x = 67,277.39

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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.