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Finding the Fourth Proportional to 41,163.71, 61,739.10 and 13,080.07

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Solution

The fourth proportional to 41,163.71, 61,739.10 and 13,080.07 is: 19,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163.71 : 61,739.10 = 13,080.07 : x
  2. Step 2: Convert to fraction form
    41,163.71/61,739.10 = 13,080.07/x
  3. Step 3: Cross multiply
    41,163.71x = 61,739.10 × 13,080.07
  4. Step 4: Simplify right side
    41,163.71x = 807,551,441.04
  5. Step 5: Solve for x
    x = 807,551,441.04/41,163.71
  6. Step 6: Final answer
    x = 19,618.04

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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.