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Finding the Fourth Proportional to 75,129.90, 103,676.06 and 41,137.78

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Solution

The fourth proportional to 75,129.90, 103,676.06 and 41,137.78 is: 56,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.90 : 103,676.06 = 41,137.78 : x
  2. Step 2: Convert to fraction form
    75,129.90/103,676.06 = 41,137.78/x
  3. Step 3: Cross multiply
    75,129.90x = 103,676.06 × 41,137.78
  4. Step 4: Simplify right side
    75,129.90x = 4,265,002,947.55
  5. Step 5: Solve for x
    x = 4,265,002,947.55/75,129.90
  6. Step 6: Final answer
    x = 56,768.38

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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.