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Finding the Fourth Proportional to 75,067, 103,595.70 and 41,533

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Solution

The fourth proportional to 75,067, 103,595.70 and 41,533 is: 57,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,067 : 103,595.70 = 41,533 : x
  2. Step 2: Convert to fraction form
    75,067/103,595.70 = 41,533/x
  3. Step 3: Cross multiply
    75,067x = 103,595.70 × 41,533
  4. Step 4: Simplify right side
    75,067x = 4,302,640,208.10
  5. Step 5: Solve for x
    x = 4,302,640,208.10/75,067
  6. Step 6: Final answer
    x = 57,317.33

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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.