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Finding the Fourth Proportional to 67,234.86, 100,835.89 and 27,803.25

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Solution

The fourth proportional to 67,234.86, 100,835.89 and 27,803.25 is: 41,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.86 : 100,835.89 = 27,803.25 : x
  2. Step 2: Convert to fraction form
    67,234.86/100,835.89 = 27,803.25/x
  3. Step 3: Cross multiply
    67,234.86x = 100,835.89 × 27,803.25
  4. Step 4: Simplify right side
    67,234.86x = 2,803,565,389.13
  5. Step 5: Solve for x
    x = 2,803,565,389.13/67,234.86
  6. Step 6: Final answer
    x = 41,698.09

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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.