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Finding the Fourth Proportional to 40,164.93, 55,425.60 and 22,259.78

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Solution

The fourth proportional to 40,164.93, 55,425.60 and 22,259.78 is: 30,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,164.93 : 55,425.60 = 22,259.78 : x
  2. Step 2: Convert to fraction form
    40,164.93/55,425.60 = 22,259.78/x
  3. Step 3: Cross multiply
    40,164.93x = 55,425.60 × 22,259.78
  4. Step 4: Simplify right side
    40,164.93x = 1,233,761,593.09
  5. Step 5: Solve for x
    x = 1,233,761,593.09/40,164.93
  6. Step 6: Final answer
    x = 30,717.38

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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.