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Finding the Fourth Proportional to 41,625.32, 57,419.55 and 25,698.42

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Solution

The fourth proportional to 41,625.32, 57,419.55 and 25,698.42 is: 35,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,625.32 : 57,419.55 = 25,698.42 : x
  2. Step 2: Convert to fraction form
    41,625.32/57,419.55 = 25,698.42/x
  3. Step 3: Cross multiply
    41,625.32x = 57,419.55 × 25,698.42
  4. Step 4: Simplify right side
    41,625.32x = 1,475,591,712.11
  5. Step 5: Solve for x
    x = 1,475,591,712.11/41,625.32
  6. Step 6: Final answer
    x = 35,449.38

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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.