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Finding the Fourth Proportional to 40,047.75, 55,265.90 and 25,143.75

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Solution

The fourth proportional to 40,047.75, 55,265.90 and 25,143.75 is: 34,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,047.75 : 55,265.90 = 25,143.75 : x
  2. Step 2: Convert to fraction form
    40,047.75/55,265.90 = 25,143.75/x
  3. Step 3: Cross multiply
    40,047.75x = 55,265.90 × 25,143.75
  4. Step 4: Simplify right side
    40,047.75x = 1,389,591,847.41
  5. Step 5: Solve for x
    x = 1,389,591,847.41/40,047.75
  6. Step 6: Final answer
    x = 34,698.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.