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Finding the Fourth Proportional to 41,187.26, 61,780.90 and 10,022.24

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Solution

The fourth proportional to 41,187.26, 61,780.90 and 10,022.24 is: 15,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,187.26 : 61,780.90 = 10,022.24 : x
  2. Step 2: Convert to fraction form
    41,187.26/61,780.90 = 10,022.24/x
  3. Step 3: Cross multiply
    41,187.26x = 61,780.90 × 10,022.24
  4. Step 4: Simplify right side
    41,187.26x = 619,183,007.22
  5. Step 5: Solve for x
    x = 619,183,007.22/41,187.26
  6. Step 6: Final answer
    x = 15,033.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.