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Finding the Fourth Proportional to 40,326.56, 55,647.48 and 22,420.48

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Solution

The fourth proportional to 40,326.56, 55,647.48 and 22,420.48 is: 30,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326.56 : 55,647.48 = 22,420.48 : x
  2. Step 2: Convert to fraction form
    40,326.56/55,647.48 = 22,420.48/x
  3. Step 3: Cross multiply
    40,326.56x = 55,647.48 × 22,420.48
  4. Step 4: Simplify right side
    40,326.56x = 1,247,643,212.39
  5. Step 5: Solve for x
    x = 1,247,643,212.39/40,326.56
  6. Step 6: Final answer
    x = 30,938.50

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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.