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Finding the Fourth Proportional to 33,011.52, 49,519.44 and 9,636

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Solution

The fourth proportional to 33,011.52, 49,519.44 and 9,636 is: 14,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.52 : 49,519.44 = 9,636 : x
  2. Step 2: Convert to fraction form
    33,011.52/49,519.44 = 9,636/x
  3. Step 3: Cross multiply
    33,011.52x = 49,519.44 × 9,636
  4. Step 4: Simplify right side
    33,011.52x = 477,169,323.84
  5. Step 5: Solve for x
    x = 477,169,323.84/33,011.52
  6. Step 6: Final answer
    x = 14,454.63

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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.