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Finding the Fourth Proportional to 82,493.93, 113,665.78 and 55,589.71

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Solution

The fourth proportional to 82,493.93, 113,665.78 and 55,589.71 is: 76,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.93 : 113,665.78 = 55,589.71 : x
  2. Step 2: Convert to fraction form
    82,493.93/113,665.78 = 55,589.71/x
  3. Step 3: Cross multiply
    82,493.93x = 113,665.78 × 55,589.71
  4. Step 4: Simplify right side
    82,493.93x = 6,318,647,747.12
  5. Step 5: Solve for x
    x = 6,318,647,747.12/82,493.93
  6. Step 6: Final answer
    x = 76,595.31

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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.