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Finding the Fourth Proportional to 50,591.43, 75,884.90 and 17,314.47

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Solution

The fourth proportional to 50,591.43, 75,884.90 and 17,314.47 is: 25,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591.43 : 75,884.90 = 17,314.47 : x
  2. Step 2: Convert to fraction form
    50,591.43/75,884.90 = 17,314.47/x
  3. Step 3: Cross multiply
    50,591.43x = 75,884.90 × 17,314.47
  4. Step 4: Simplify right side
    50,591.43x = 1,313,906,737.93
  5. Step 5: Solve for x
    x = 1,313,906,737.93/50,591.43
  6. Step 6: Final answer
    x = 25,970.93

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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.