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Finding the Fourth Proportional to 30,579.24, 45,863.94 and 8,387.48

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Solution

The fourth proportional to 30,579.24, 45,863.94 and 8,387.48 is: 12,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579.24 : 45,863.94 = 8,387.48 : x
  2. Step 2: Convert to fraction form
    30,579.24/45,863.94 = 8,387.48/x
  3. Step 3: Cross multiply
    30,579.24x = 45,863.94 × 8,387.48
  4. Step 4: Simplify right side
    30,579.24x = 384,682,879.47
  5. Step 5: Solve for x
    x = 384,682,879.47/30,579.24
  6. Step 6: Final answer
    x = 12,579.87

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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.