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Finding the Fourth Proportional to 40,564.54, 55,978.83 and 22,659.49

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Solution

The fourth proportional to 40,564.54, 55,978.83 and 22,659.49 is: 31,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564.54 : 55,978.83 = 22,659.49 : x
  2. Step 2: Convert to fraction form
    40,564.54/55,978.83 = 22,659.49/x
  3. Step 3: Cross multiply
    40,564.54x = 55,978.83 × 22,659.49
  4. Step 4: Simplify right side
    40,564.54x = 1,268,451,738.60
  5. Step 5: Solve for x
    x = 1,268,451,738.60/40,564.54
  6. Step 6: Final answer
    x = 31,269.96

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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.