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Finding the Fourth Proportional to 50,661.88, 75,992.81 and 13,725.88

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Solution

The fourth proportional to 50,661.88, 75,992.81 and 13,725.88 is: 20,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,661.88 : 75,992.81 = 13,725.88 : x
  2. Step 2: Convert to fraction form
    50,661.88/75,992.81 = 13,725.88/x
  3. Step 3: Cross multiply
    50,661.88x = 75,992.81 × 13,725.88
  4. Step 4: Simplify right side
    50,661.88x = 1,043,068,190.92
  5. Step 5: Solve for x
    x = 1,043,068,190.92/50,661.88
  6. Step 6: Final answer
    x = 20,588.82

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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.