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Finding the Fourth Proportional to 34,186.38, 47,179.02 and 20,043.78

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Solution

The fourth proportional to 34,186.38, 47,179.02 and 20,043.78 is: 27,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.38 : 47,179.02 = 20,043.78 : x
  2. Step 2: Convert to fraction form
    34,186.38/47,179.02 = 20,043.78/x
  3. Step 3: Cross multiply
    34,186.38x = 47,179.02 × 20,043.78
  4. Step 4: Simplify right side
    34,186.38x = 945,645,897.50
  5. Step 5: Solve for x
    x = 945,645,897.50/34,186.38
  6. Step 6: Final answer
    x = 27,661.48

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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.