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Finding the Fourth Proportional to 37,133.10, 51,243.69 and 20,137.34

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Solution

The fourth proportional to 37,133.10, 51,243.69 and 20,137.34 is: 27,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.10 : 51,243.69 = 20,137.34 : x
  2. Step 2: Convert to fraction form
    37,133.10/51,243.69 = 20,137.34/x
  3. Step 3: Cross multiply
    37,133.10x = 51,243.69 × 20,137.34
  4. Step 4: Simplify right side
    37,133.10x = 1,031,911,608.38
  5. Step 5: Solve for x
    x = 1,031,911,608.38/37,133.10
  6. Step 6: Final answer
    x = 27,789.54

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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.