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Finding the Fourth Proportional to 75,758.79, 113,619.96 and 23,168.73

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Solution

The fourth proportional to 75,758.79, 113,619.96 and 23,168.73 is: 34,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758.79 : 113,619.96 = 23,168.73 : x
  2. Step 2: Convert to fraction form
    75,758.79/113,619.96 = 23,168.73/x
  3. Step 3: Cross multiply
    75,758.79x = 113,619.96 × 23,168.73
  4. Step 4: Simplify right side
    75,758.79x = 2,632,430,060.01
  5. Step 5: Solve for x
    x = 2,632,430,060.01/75,758.79
  6. Step 6: Final answer
    x = 34,747.52

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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.