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Finding the Fourth Proportional to 50,408.64, 75,642.24 and 27,921.60

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Solution

The fourth proportional to 50,408.64, 75,642.24 and 27,921.60 is: 41,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,408.64 : 75,642.24 = 27,921.60 : x
  2. Step 2: Convert to fraction form
    50,408.64/75,642.24 = 27,921.60/x
  3. Step 3: Cross multiply
    50,408.64x = 75,642.24 × 27,921.60
  4. Step 4: Simplify right side
    50,408.64x = 2,112,052,368.38
  5. Step 5: Solve for x
    x = 2,112,052,368.38/50,408.64
  6. Step 6: Final answer
    x = 41,898.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.