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Finding the Fourth Proportional to 40,169.84, 55,434.38 and 22,267.54

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Solution

The fourth proportional to 40,169.84, 55,434.38 and 22,267.54 is: 30,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,169.84 : 55,434.38 = 22,267.54 : x
  2. Step 2: Convert to fraction form
    40,169.84/55,434.38 = 22,267.54/x
  3. Step 3: Cross multiply
    40,169.84x = 55,434.38 × 22,267.54
  4. Step 4: Simplify right side
    40,169.84x = 1,234,387,274.03
  5. Step 5: Solve for x
    x = 1,234,387,274.03/40,169.84
  6. Step 6: Final answer
    x = 30,729.21

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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.