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Finding the Fourth Proportional to 41,129.76, 61,694.62 and 13,427.76

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Solution

The fourth proportional to 41,129.76, 61,694.62 and 13,427.76 is: 20,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129.76 : 61,694.62 = 13,427.76 : x
  2. Step 2: Convert to fraction form
    41,129.76/61,694.62 = 13,427.76/x
  3. Step 3: Cross multiply
    41,129.76x = 61,694.62 × 13,427.76
  4. Step 4: Simplify right side
    41,129.76x = 828,420,550.65
  5. Step 5: Solve for x
    x = 828,420,550.65/41,129.76
  6. Step 6: Final answer
    x = 20,141.63

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Why These Related Problems?

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