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Finding the Fourth Proportional to 33,698.63, 50,555.12 and 10,006.24

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Solution

The fourth proportional to 33,698.63, 50,555.12 and 10,006.24 is: 15,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.63 : 50,555.12 = 10,006.24 : x
  2. Step 2: Convert to fraction form
    33,698.63/50,555.12 = 10,006.24/x
  3. Step 3: Cross multiply
    33,698.63x = 50,555.12 × 10,006.24
  4. Step 4: Simplify right side
    33,698.63x = 505,866,621.39
  5. Step 5: Solve for x
    x = 505,866,621.39/33,698.63
  6. Step 6: Final answer
    x = 15,011.49

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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.