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Finding the Fourth Proportional to 83,806.21, 125,709.00 and 33,885.71

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Solution

The fourth proportional to 83,806.21, 125,709.00 and 33,885.71 is: 50,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,806.21 : 125,709.00 = 33,885.71 : x
  2. Step 2: Convert to fraction form
    83,806.21/125,709.00 = 33,885.71/x
  3. Step 3: Cross multiply
    83,806.21x = 125,709.00 × 33,885.71
  4. Step 4: Simplify right side
    83,806.21x = 4,259,738,434.18
  5. Step 5: Solve for x
    x = 4,259,738,434.18/83,806.21
  6. Step 6: Final answer
    x = 50,828.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.