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Finding the Fourth Proportional to 41,161.70, 61,736.10 and 13,078.06

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Solution

The fourth proportional to 41,161.70, 61,736.10 and 13,078.06 is: 19,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,161.70 : 61,736.10 = 13,078.06 : x
  2. Step 2: Convert to fraction form
    41,161.70/61,736.10 = 13,078.06/x
  3. Step 3: Cross multiply
    41,161.70x = 61,736.10 × 13,078.06
  4. Step 4: Simplify right side
    41,161.70x = 807,388,216.58
  5. Step 5: Solve for x
    x = 807,388,216.58/41,161.70
  6. Step 6: Final answer
    x = 19,615.03

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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.