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Finding the Fourth Proportional to 41,598, 57,405.78 and 22,735.53

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Solution

The fourth proportional to 41,598, 57,405.78 and 22,735.53 is: 31,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598 : 57,405.78 = 22,735.53 : x
  2. Step 2: Convert to fraction form
    41,598/57,405.78 = 22,735.53/x
  3. Step 3: Cross multiply
    41,598x = 57,405.78 × 22,735.53
  4. Step 4: Simplify right side
    41,598x = 1,305,150,833.36
  5. Step 5: Solve for x
    x = 1,305,150,833.36/41,598
  6. Step 6: Final answer
    x = 31,375.33

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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.