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Finding the Fourth Proportional to 50,742.75, 76,105.86 and 17,023.69

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Solution

The fourth proportional to 50,742.75, 76,105.86 and 17,023.69 is: 25,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.75 : 76,105.86 = 17,023.69 : x
  2. Step 2: Convert to fraction form
    50,742.75/76,105.86 = 17,023.69/x
  3. Step 3: Cross multiply
    50,742.75x = 76,105.86 × 17,023.69
  4. Step 4: Simplify right side
    50,742.75x = 1,295,602,599.12
  5. Step 5: Solve for x
    x = 1,295,602,599.12/50,742.75
  6. Step 6: Final answer
    x = 25,532.76

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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.