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Finding the Fourth Proportional to 33,186.24, 49,780.32 and 8,562.24

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Solution

The fourth proportional to 33,186.24, 49,780.32 and 8,562.24 is: 12,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.24 : 49,780.32 = 8,562.24 : x
  2. Step 2: Convert to fraction form
    33,186.24/49,780.32 = 8,562.24/x
  3. Step 3: Cross multiply
    33,186.24x = 49,780.32 × 8,562.24
  4. Step 4: Simplify right side
    33,186.24x = 426,231,047.12
  5. Step 5: Solve for x
    x = 426,231,047.12/33,186.24
  6. Step 6: Final answer
    x = 12,843.61

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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.