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Finding the Fourth Proportional to 50,431.71, 75,625.69 and 17,142.83

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Solution

The fourth proportional to 50,431.71, 75,625.69 and 17,142.83 is: 25,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,431.71 : 75,625.69 = 17,142.83 : x
  2. Step 2: Convert to fraction form
    50,431.71/75,625.69 = 17,142.83/x
  3. Step 3: Cross multiply
    50,431.71x = 75,625.69 × 17,142.83
  4. Step 4: Simplify right side
    50,431.71x = 1,296,438,347.30
  5. Step 5: Solve for x
    x = 1,296,438,347.30/50,431.71
  6. Step 6: Final answer
    x = 25,706.81

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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.