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Finding the Fourth Proportional to 50,254.26, 75,382.02 and 12,814.32

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Solution

The fourth proportional to 50,254.26, 75,382.02 and 12,814.32 is: 19,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254.26 : 75,382.02 = 12,814.32 : x
  2. Step 2: Convert to fraction form
    50,254.26/75,382.02 = 12,814.32/x
  3. Step 3: Cross multiply
    50,254.26x = 75,382.02 × 12,814.32
  4. Step 4: Simplify right side
    50,254.26x = 965,969,326.53
  5. Step 5: Solve for x
    x = 965,969,326.53/50,254.26
  6. Step 6: Final answer
    x = 19,221.64

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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.