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Finding the Fourth Proportional to 40,325.81, 55,647 and 22,420.35

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Solution

The fourth proportional to 40,325.81, 55,647 and 22,420.35 is: 30,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,325.81 : 55,647 = 22,420.35 : x
  2. Step 2: Convert to fraction form
    40,325.81/55,647 = 22,420.35/x
  3. Step 3: Cross multiply
    40,325.81x = 55,647 × 22,420.35
  4. Step 4: Simplify right side
    40,325.81x = 1,247,625,216.45
  5. Step 5: Solve for x
    x = 1,247,625,216.45/40,325.81
  6. Step 6: Final answer
    x = 30,938.63

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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.