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Finding the Fourth Proportional to 40,452.42, 55,822.79 and 22,546.56

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Solution

The fourth proportional to 40,452.42, 55,822.79 and 22,546.56 is: 31,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,452.42 : 55,822.79 = 22,546.56 : x
  2. Step 2: Convert to fraction form
    40,452.42/55,822.79 = 22,546.56/x
  3. Step 3: Cross multiply
    40,452.42x = 55,822.79 × 22,546.56
  4. Step 4: Simplify right side
    40,452.42x = 1,258,611,771.37
  5. Step 5: Solve for x
    x = 1,258,611,771.37/40,452.42
  6. Step 6: Final answer
    x = 31,113.39

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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.