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Finding the Fourth Proportional to 27,499.75, 37,959.50 and 16,321.75

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Solution

The fourth proportional to 27,499.75, 37,959.50 and 16,321.75 is: 22,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.75 : 37,959.50 = 16,321.75 : x
  2. Step 2: Convert to fraction form
    27,499.75/37,959.50 = 16,321.75/x
  3. Step 3: Cross multiply
    27,499.75x = 37,959.50 × 16,321.75
  4. Step 4: Simplify right side
    27,499.75x = 619,565,469.13
  5. Step 5: Solve for x
    x = 619,565,469.13/27,499.75
  6. Step 6: Final answer
    x = 22,529.86

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1.5x scale

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.