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Finding the Fourth Proportional to 47,969.80, 71,954.20 and 26,909.80

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Solution

The fourth proportional to 47,969.80, 71,954.20 and 26,909.80 is: 40,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.80 : 71,954.20 = 26,909.80 : x
  2. Step 2: Convert to fraction form
    47,969.80/71,954.20 = 26,909.80/x
  3. Step 3: Cross multiply
    47,969.80x = 71,954.20 × 26,909.80
  4. Step 4: Simplify right side
    47,969.80x = 1,936,273,131.16
  5. Step 5: Solve for x
    x = 1,936,273,131.16/47,969.80
  6. Step 6: Final answer
    x = 40,364.42

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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.