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Finding the Fourth Proportional to 36,960.75, 51,005.84 and 20,193.75

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Solution

The fourth proportional to 36,960.75, 51,005.84 and 20,193.75 is: 27,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960.75 : 51,005.84 = 20,193.75 : x
  2. Step 2: Convert to fraction form
    36,960.75/51,005.84 = 20,193.75/x
  3. Step 3: Cross multiply
    36,960.75x = 51,005.84 × 20,193.75
  4. Step 4: Simplify right side
    36,960.75x = 1,029,999,080.53
  5. Step 5: Solve for x
    x = 1,029,999,080.53/36,960.75
  6. Step 6: Final answer
    x = 27,867.38

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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.