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Finding the Fourth Proportional to 54,832.57, 82,251.78 and 17,395.63

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Solution

The fourth proportional to 54,832.57, 82,251.78 and 17,395.63 is: 26,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832.57 : 82,251.78 = 17,395.63 : x
  2. Step 2: Convert to fraction form
    54,832.57/82,251.78 = 17,395.63/x
  3. Step 3: Cross multiply
    54,832.57x = 82,251.78 × 17,395.63
  4. Step 4: Simplify right side
    54,832.57x = 1,430,821,723.52
  5. Step 5: Solve for x
    x = 1,430,821,723.52/54,832.57
  6. Step 6: Final answer
    x = 26,094.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.