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Finding the Fourth Proportional to 40,380.78, 55,724.55 and 22,475.40

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Solution

The fourth proportional to 40,380.78, 55,724.55 and 22,475.40 is: 31,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380.78 : 55,724.55 = 22,475.40 : x
  2. Step 2: Convert to fraction form
    40,380.78/55,724.55 = 22,475.40/x
  3. Step 3: Cross multiply
    40,380.78x = 55,724.55 × 22,475.40
  4. Step 4: Simplify right side
    40,380.78x = 1,252,431,551.07
  5. Step 5: Solve for x
    x = 1,252,431,551.07/40,380.78
  6. Step 6: Final answer
    x = 31,015.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.