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Finding the Fourth Proportional to 33,143.94, 49,709.43 and 12,363.30

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Solution

The fourth proportional to 33,143.94, 49,709.43 and 12,363.30 is: 18,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.94 : 49,709.43 = 12,363.30 : x
  2. Step 2: Convert to fraction form
    33,143.94/49,709.43 = 12,363.30/x
  3. Step 3: Cross multiply
    33,143.94x = 49,709.43 × 12,363.30
  4. Step 4: Simplify right side
    33,143.94x = 614,572,595.92
  5. Step 5: Solve for x
    x = 614,572,595.92/33,143.94
  6. Step 6: Final answer
    x = 18,542.53

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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.