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Finding the Fourth Proportional to 37,092, 51,186.98 and 20,325

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Solution

The fourth proportional to 37,092, 51,186.98 and 20,325 is: 28,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,092 : 51,186.98 = 20,325 : x
  2. Step 2: Convert to fraction form
    37,092/51,186.98 = 20,325/x
  3. Step 3: Cross multiply
    37,092x = 51,186.98 × 20,325
  4. Step 4: Simplify right side
    37,092x = 1,040,375,368.50
  5. Step 5: Solve for x
    x = 1,040,375,368.50/37,092
  6. Step 6: Final answer
    x = 28,048.51

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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.