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Finding the Fourth Proportional to 41,738.60, 57,602.38 and 25,832.30

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Solution

The fourth proportional to 41,738.60, 57,602.38 and 25,832.30 is: 35,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,738.60 : 57,602.38 = 25,832.30 : x
  2. Step 2: Convert to fraction form
    41,738.60/57,602.38 = 25,832.30/x
  3. Step 3: Cross multiply
    41,738.60x = 57,602.38 × 25,832.30
  4. Step 4: Simplify right side
    41,738.60x = 1,488,001,960.87
  5. Step 5: Solve for x
    x = 1,488,001,960.87/41,738.60
  6. Step 6: Final answer
    x = 35,650.50

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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.