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Finding the Fourth Proportional to 50,296, 75,447.64 and 15,238.40

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Solution

The fourth proportional to 50,296, 75,447.64 and 15,238.40 is: 22,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296 : 75,447.64 = 15,238.40 : x
  2. Step 2: Convert to fraction form
    50,296/75,447.64 = 15,238.40/x
  3. Step 3: Cross multiply
    50,296x = 75,447.64 × 15,238.40
  4. Step 4: Simplify right side
    50,296x = 1,149,701,317.38
  5. Step 5: Solve for x
    x = 1,149,701,317.38/50,296
  6. Step 6: Final answer
    x = 22,858.70

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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.