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Finding the Fourth Proportional to 33,147.74, 49,714.02 and 9,454.84

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Solution

The fourth proportional to 33,147.74, 49,714.02 and 9,454.84 is: 14,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.74 : 49,714.02 = 9,454.84 : x
  2. Step 2: Convert to fraction form
    33,147.74/49,714.02 = 9,454.84/x
  3. Step 3: Cross multiply
    33,147.74x = 49,714.02 × 9,454.84
  4. Step 4: Simplify right side
    33,147.74x = 470,037,980.57
  5. Step 5: Solve for x
    x = 470,037,980.57/33,147.74
  6. Step 6: Final answer
    x = 14,180.09

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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.