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Finding the Fourth Proportional to 75,745.38, 104,523.92 and 41,752.11

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Solution

The fourth proportional to 75,745.38, 104,523.92 and 41,752.11 is: 57,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,745.38 : 104,523.92 = 41,752.11 : x
  2. Step 2: Convert to fraction form
    75,745.38/104,523.92 = 41,752.11/x
  3. Step 3: Cross multiply
    75,745.38x = 104,523.92 × 41,752.11
  4. Step 4: Simplify right side
    75,745.38x = 4,364,094,205.47
  5. Step 5: Solve for x
    x = 4,364,094,205.47/75,745.38
  6. Step 6: Final answer
    x = 57,615.32

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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.