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Finding the Fourth Proportional to 41,341.20, 62,014.20 and 11,761.20

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Solution

The fourth proportional to 41,341.20, 62,014.20 and 11,761.20 is: 17,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,341.20 : 62,014.20 = 11,761.20 : x
  2. Step 2: Convert to fraction form
    41,341.20/62,014.20 = 11,761.20/x
  3. Step 3: Cross multiply
    41,341.20x = 62,014.20 × 11,761.20
  4. Step 4: Simplify right side
    41,341.20x = 729,361,409.04
  5. Step 5: Solve for x
    x = 729,361,409.04/41,341.20
  6. Step 6: Final answer
    x = 17,642.48

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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.