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Finding the Fourth Proportional to 41,321.33, 57,022.24 and 23,418

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Solution

The fourth proportional to 41,321.33, 57,022.24 and 23,418 is: 32,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,321.33 : 57,022.24 = 23,418 : x
  2. Step 2: Convert to fraction form
    41,321.33/57,022.24 = 23,418/x
  3. Step 3: Cross multiply
    41,321.33x = 57,022.24 × 23,418
  4. Step 4: Simplify right side
    41,321.33x = 1,335,346,816.32
  5. Step 5: Solve for x
    x = 1,335,346,816.32/41,321.33
  6. Step 6: Final answer
    x = 32,316.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.