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Finding the Fourth Proportional to 100,265.65, 150,392.94 and 33,698.91

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Solution

The fourth proportional to 100,265.65, 150,392.94 and 33,698.91 is: 50,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.65 : 150,392.94 = 33,698.91 : x
  2. Step 2: Convert to fraction form
    100,265.65/150,392.94 = 33,698.91/x
  3. Step 3: Cross multiply
    100,265.65x = 150,392.94 × 33,698.91
  4. Step 4: Simplify right side
    100,265.65x = 5,068,078,149.70
  5. Step 5: Solve for x
    x = 5,068,078,149.70/100,265.65
  6. Step 6: Final answer
    x = 50,546.50

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1.5x scale

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.