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Finding the Fourth Proportional to 75,783.38, 104,578.76 and 41,791.82

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Solution

The fourth proportional to 75,783.38, 104,578.76 and 41,791.82 is: 57,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.38 : 104,578.76 = 41,791.82 : x
  2. Step 2: Convert to fraction form
    75,783.38/104,578.76 = 41,791.82/x
  3. Step 3: Cross multiply
    75,783.38x = 104,578.76 × 41,791.82
  4. Step 4: Simplify right side
    75,783.38x = 4,370,536,295.33
  5. Step 5: Solve for x
    x = 4,370,536,295.33/75,783.38
  6. Step 6: Final answer
    x = 57,671.44

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1.5x scale

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.