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Finding the Fourth Proportional to 41,505.26, 57,276 and 23,357

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Solution

The fourth proportional to 41,505.26, 57,276 and 23,357 is: 32,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505.26 : 57,276 = 23,357 : x
  2. Step 2: Convert to fraction form
    41,505.26/57,276 = 23,357/x
  3. Step 3: Cross multiply
    41,505.26x = 57,276 × 23,357
  4. Step 4: Simplify right side
    41,505.26x = 1,337,795,532
  5. Step 5: Solve for x
    x = 1,337,795,532/41,505.26
  6. Step 6: Final answer
    x = 32,231.95

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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.