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Finding the Fourth Proportional to 45,414.36, 62,617.41 and 29,493

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Solution

The fourth proportional to 45,414.36, 62,617.41 and 29,493 is: 40,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414.36 : 62,617.41 = 29,493 : x
  2. Step 2: Convert to fraction form
    45,414.36/62,617.41 = 29,493/x
  3. Step 3: Cross multiply
    45,414.36x = 62,617.41 × 29,493
  4. Step 4: Simplify right side
    45,414.36x = 1,846,775,273.13
  5. Step 5: Solve for x
    x = 1,846,775,273.13/45,414.36
  6. Step 6: Final answer
    x = 40,665.01

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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.