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Finding the Fourth Proportional to 37,409.38, 51,629.74 and 21,496.92

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Solution

The fourth proportional to 37,409.38, 51,629.74 and 21,496.92 is: 29,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.38 : 51,629.74 = 21,496.92 : x
  2. Step 2: Convert to fraction form
    37,409.38/51,629.74 = 21,496.92/x
  3. Step 3: Cross multiply
    37,409.38x = 51,629.74 × 21,496.92
  4. Step 4: Simplify right side
    37,409.38x = 1,109,880,390.40
  5. Step 5: Solve for x
    x = 1,109,880,390.40/37,409.38
  6. Step 6: Final answer
    x = 29,668.51

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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.