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Finding the Fourth Proportional to 40,568.34, 55,982.31 and 22,659.78

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Solution

The fourth proportional to 40,568.34, 55,982.31 and 22,659.78 is: 31,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,568.34 : 55,982.31 = 22,659.78 : x
  2. Step 2: Convert to fraction form
    40,568.34/55,982.31 = 22,659.78/x
  3. Step 3: Cross multiply
    40,568.34x = 55,982.31 × 22,659.78
  4. Step 4: Simplify right side
    40,568.34x = 1,268,546,828.49
  5. Step 5: Solve for x
    x = 1,268,546,828.49/40,568.34
  6. Step 6: Final answer
    x = 31,269.38

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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.