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Finding the Fourth Proportional to 50,876.34, 76,299.91 and 17,138.69

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Solution

The fourth proportional to 50,876.34, 76,299.91 and 17,138.69 is: 25,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.34 : 76,299.91 = 17,138.69 : x
  2. Step 2: Convert to fraction form
    50,876.34/76,299.91 = 17,138.69/x
  3. Step 3: Cross multiply
    50,876.34x = 76,299.91 × 17,138.69
  4. Step 4: Simplify right side
    50,876.34x = 1,307,680,366.30
  5. Step 5: Solve for x
    x = 1,307,680,366.30/50,876.34
  6. Step 6: Final answer
    x = 25,703.12

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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.