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Finding the Fourth Proportional to 76,651.56, 114,994.62 and 23,348.30

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Solution

The fourth proportional to 76,651.56, 114,994.62 and 23,348.30 is: 35,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.56 : 114,994.62 = 23,348.30 : x
  2. Step 2: Convert to fraction form
    76,651.56/114,994.62 = 23,348.30/x
  3. Step 3: Cross multiply
    76,651.56x = 114,994.62 × 23,348.30
  4. Step 4: Simplify right side
    76,651.56x = 2,684,928,311.17
  5. Step 5: Solve for x
    x = 2,684,928,311.17/76,651.56
  6. Step 6: Final answer
    x = 35,027.71

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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.