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Finding the Fourth Proportional to 37,668.98, 51,982.70 and 20,673.38

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Solution

The fourth proportional to 37,668.98, 51,982.70 and 20,673.38 is: 28,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.98 : 51,982.70 = 20,673.38 : x
  2. Step 2: Convert to fraction form
    37,668.98/51,982.70 = 20,673.38/x
  3. Step 3: Cross multiply
    37,668.98x = 51,982.70 × 20,673.38
  4. Step 4: Simplify right side
    37,668.98x = 1,074,658,110.53
  5. Step 5: Solve for x
    x = 1,074,658,110.53/37,668.98
  6. Step 6: Final answer
    x = 28,528.99

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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.