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Finding the Fourth Proportional to 75,135.38, 103,686.82 and 41,603.54

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Solution

The fourth proportional to 75,135.38, 103,686.82 and 41,603.54 is: 57,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135.38 : 103,686.82 = 41,603.54 : x
  2. Step 2: Convert to fraction form
    75,135.38/103,686.82 = 41,603.54/x
  3. Step 3: Cross multiply
    75,135.38x = 103,686.82 × 41,603.54
  4. Step 4: Simplify right side
    75,135.38x = 4,313,738,140.90
  5. Step 5: Solve for x
    x = 4,313,738,140.90/75,135.38
  6. Step 6: Final answer
    x = 57,412.88

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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.