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Finding the Fourth Proportional to 41,138.45, 61,709.43 and 13,057.91

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Solution

The fourth proportional to 41,138.45, 61,709.43 and 13,057.91 is: 19,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138.45 : 61,709.43 = 13,057.91 : x
  2. Step 2: Convert to fraction form
    41,138.45/61,709.43 = 13,057.91/x
  3. Step 3: Cross multiply
    41,138.45x = 61,709.43 × 13,057.91
  4. Step 4: Simplify right side
    41,138.45x = 805,796,183.09
  5. Step 5: Solve for x
    x = 805,796,183.09/41,138.45
  6. Step 6: Final answer
    x = 19,587.42

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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.