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Finding the Fourth Proportional to 25,791.28, 38,689.81 and 23,142.50

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Solution

The fourth proportional to 25,791.28, 38,689.81 and 23,142.50 is: 34,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.28 : 38,689.81 = 23,142.50 : x
  2. Step 2: Convert to fraction form
    25,791.28/38,689.81 = 23,142.50/x
  3. Step 3: Cross multiply
    25,791.28x = 38,689.81 × 23,142.50
  4. Step 4: Simplify right side
    25,791.28x = 895,378,927.93
  5. Step 5: Solve for x
    x = 895,378,927.93/25,791.28
  6. Step 6: Final answer
    x = 34,716.34

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Why These Related Problems?

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