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Finding the Fourth Proportional to 41,812.68, 57,728.52 and 25,914

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Solution

The fourth proportional to 41,812.68, 57,728.52 and 25,914 is: 35,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812.68 : 57,728.52 = 25,914 : x
  2. Step 2: Convert to fraction form
    41,812.68/57,728.52 = 25,914/x
  3. Step 3: Cross multiply
    41,812.68x = 57,728.52 × 25,914
  4. Step 4: Simplify right side
    41,812.68x = 1,495,976,867.28
  5. Step 5: Solve for x
    x = 1,495,976,867.28/41,812.68
  6. Step 6: Final answer
    x = 35,778.07

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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.