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Finding the Fourth Proportional to 54,105.38, 74,665.26 and 30,232.07

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Solution

The fourth proportional to 54,105.38, 74,665.26 and 30,232.07 is: 41,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,105.38 : 74,665.26 = 30,232.07 : x
  2. Step 2: Convert to fraction form
    54,105.38/74,665.26 = 30,232.07/x
  3. Step 3: Cross multiply
    54,105.38x = 74,665.26 × 30,232.07
  4. Step 4: Simplify right side
    54,105.38x = 2,257,285,366.89
  5. Step 5: Solve for x
    x = 2,257,285,366.89/54,105.38
  6. Step 6: Final answer
    x = 41,720.16

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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.