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Finding the Fourth Proportional to 37,661.34, 51,972.38 and 20,894.34

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Solution

The fourth proportional to 37,661.34, 51,972.38 and 20,894.34 is: 28,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.34 : 51,972.38 = 20,894.34 : x
  2. Step 2: Convert to fraction form
    37,661.34/51,972.38 = 20,894.34/x
  3. Step 3: Cross multiply
    37,661.34x = 51,972.38 × 20,894.34
  4. Step 4: Simplify right side
    37,661.34x = 1,085,928,370.70
  5. Step 5: Solve for x
    x = 1,085,928,370.70/37,661.34
  6. Step 6: Final answer
    x = 28,834.04

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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.