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Finding the Fourth Proportional to 40,578.38, 55,998.04 and 22,673.40

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Solution

The fourth proportional to 40,578.38, 55,998.04 and 22,673.40 is: 31,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,578.38 : 55,998.04 = 22,673.40 : x
  2. Step 2: Convert to fraction form
    40,578.38/55,998.04 = 22,673.40/x
  3. Step 3: Cross multiply
    40,578.38x = 55,998.04 × 22,673.40
  4. Step 4: Simplify right side
    40,578.38x = 1,269,665,876.82
  5. Step 5: Solve for x
    x = 1,269,665,876.82/40,578.38
  6. Step 6: Final answer
    x = 31,289.22

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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.