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Finding the Fourth Proportional to 37,076.70, 51,160.92 and 21,160.20

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Solution

The fourth proportional to 37,076.70, 51,160.92 and 21,160.20 is: 29,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076.70 : 51,160.92 = 21,160.20 : x
  2. Step 2: Convert to fraction form
    37,076.70/51,160.92 = 21,160.20/x
  3. Step 3: Cross multiply
    37,076.70x = 51,160.92 × 21,160.20
  4. Step 4: Simplify right side
    37,076.70x = 1,082,575,299.38
  5. Step 5: Solve for x
    x = 1,082,575,299.38/37,076.70
  6. Step 6: Final answer
    x = 29,198.26

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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.