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Finding the Fourth Proportional to 75,299.38, 103,913.21 and 41,765.38

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Solution

The fourth proportional to 75,299.38, 103,913.21 and 41,765.38 is: 57,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,299.38 : 103,913.21 = 41,765.38 : x
  2. Step 2: Convert to fraction form
    75,299.38/103,913.21 = 41,765.38/x
  3. Step 3: Cross multiply
    75,299.38x = 103,913.21 × 41,765.38
  4. Step 4: Simplify right side
    75,299.38x = 4,339,974,702.67
  5. Step 5: Solve for x
    x = 4,339,974,702.67/75,299.38
  6. Step 6: Final answer
    x = 57,636.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.