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Finding the Fourth Proportional to 39,453.68, 54,443.87 and 22,462.06

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Solution

The fourth proportional to 39,453.68, 54,443.87 and 22,462.06 is: 30,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,453.68 : 54,443.87 = 22,462.06 : x
  2. Step 2: Convert to fraction form
    39,453.68/54,443.87 = 22,462.06/x
  3. Step 3: Cross multiply
    39,453.68x = 54,443.87 × 22,462.06
  4. Step 4: Simplify right side
    39,453.68x = 1,222,921,474.57
  5. Step 5: Solve for x
    x = 1,222,921,474.57/39,453.68
  6. Step 6: Final answer
    x = 30,996.39

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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.