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Finding the Fourth Proportional to 37,664, 51,976.28 and 20,668.34

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Solution

The fourth proportional to 37,664, 51,976.28 and 20,668.34 is: 28,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664 : 51,976.28 = 20,668.34 : x
  2. Step 2: Convert to fraction form
    37,664/51,976.28 = 20,668.34/x
  3. Step 3: Cross multiply
    37,664x = 51,976.28 × 20,668.34
  4. Step 4: Simplify right side
    37,664x = 1,074,263,426.98
  5. Step 5: Solve for x
    x = 1,074,263,426.98/37,664
  6. Step 6: Final answer
    x = 28,522.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.