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Finding the Fourth Proportional to 117,443.86, 176,133.39 and 33,197.38

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Solution

The fourth proportional to 117,443.86, 176,133.39 and 33,197.38 is: 49,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,443.86 : 176,133.39 = 33,197.38 : x
  2. Step 2: Convert to fraction form
    117,443.86/176,133.39 = 33,197.38/x
  3. Step 3: Cross multiply
    117,443.86x = 176,133.39 × 33,197.38
  4. Step 4: Simplify right side
    117,443.86x = 5,847,167,078.52
  5. Step 5: Solve for x
    x = 5,847,167,078.52/117,443.86
  6. Step 6: Final answer
    x = 49,786.91

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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.