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Finding the Fourth Proportional to 54,992.46, 82,502.46 and 30,025.83

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Solution

The fourth proportional to 54,992.46, 82,502.46 and 30,025.83 is: 45,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.46 : 82,502.46 = 30,025.83 : x
  2. Step 2: Convert to fraction form
    54,992.46/82,502.46 = 30,025.83/x
  3. Step 3: Cross multiply
    54,992.46x = 82,502.46 × 30,025.83
  4. Step 4: Simplify right side
    54,992.46x = 2,477,204,838.54
  5. Step 5: Solve for x
    x = 2,477,204,838.54/54,992.46
  6. Step 6: Final answer
    x = 45,046.26

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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.