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Finding the Fourth Proportional to 20,751.02, 31,131.15 and 5,958.78

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Solution

The fourth proportional to 20,751.02, 31,131.15 and 5,958.78 is: 8,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.02 : 31,131.15 = 5,958.78 : x
  2. Step 2: Convert to fraction form
    20,751.02/31,131.15 = 5,958.78/x
  3. Step 3: Cross multiply
    20,751.02x = 31,131.15 × 5,958.78
  4. Step 4: Simplify right side
    20,751.02x = 185,503,674.00
  5. Step 5: Solve for x
    x = 185,503,674.00/20,751.02
  6. Step 6: Final answer
    x = 8,939.50

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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.