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Finding the Fourth Proportional to 36,846.59, 50,833.86 and 22,674.83

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Solution

The fourth proportional to 36,846.59, 50,833.86 and 22,674.83 is: 31,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846.59 : 50,833.86 = 22,674.83 : x
  2. Step 2: Convert to fraction form
    36,846.59/50,833.86 = 22,674.83/x
  3. Step 3: Cross multiply
    36,846.59x = 50,833.86 × 22,674.83
  4. Step 4: Simplify right side
    36,846.59x = 1,152,649,133.74
  5. Step 5: Solve for x
    x = 1,152,649,133.74/36,846.59
  6. Step 6: Final answer
    x = 31,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.