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Finding the Fourth Proportional to 36,992, 51,048.96 and 20,225

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Solution

The fourth proportional to 36,992, 51,048.96 and 20,225 is: 27,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992 : 51,048.96 = 20,225 : x
  2. Step 2: Convert to fraction form
    36,992/51,048.96 = 20,225/x
  3. Step 3: Cross multiply
    36,992x = 51,048.96 × 20,225
  4. Step 4: Simplify right side
    36,992x = 1,032,465,216
  5. Step 5: Solve for x
    x = 1,032,465,216/36,992
  6. Step 6: Final answer
    x = 27,910.50

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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.