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Finding the Fourth Proportional to 54,986.46, 82,493.46 and 30,019.83

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Solution

The fourth proportional to 54,986.46, 82,493.46 and 30,019.83 is: 45,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,986.46 : 82,493.46 = 30,019.83 : x
  2. Step 2: Convert to fraction form
    54,986.46/82,493.46 = 30,019.83/x
  3. Step 3: Cross multiply
    54,986.46x = 82,493.46 × 30,019.83
  4. Step 4: Simplify right side
    54,986.46x = 2,476,439,645.31
  5. Step 5: Solve for x
    x = 2,476,439,645.31/54,986.46
  6. Step 6: Final answer
    x = 45,037.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.