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Finding the Fourth Proportional to 55,234.90, 82,924.64 and 32,786.56

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Solution

The fourth proportional to 55,234.90, 82,924.64 and 32,786.56 is: 49,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.90 : 82,924.64 = 32,786.56 : x
  2. Step 2: Convert to fraction form
    55,234.90/82,924.64 = 32,786.56/x
  3. Step 3: Cross multiply
    55,234.90x = 82,924.64 × 32,786.56
  4. Step 4: Simplify right side
    55,234.90x = 2,718,813,684.84
  5. Step 5: Solve for x
    x = 2,718,813,684.84/55,234.90
  6. Step 6: Final answer
    x = 49,222.75

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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.