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Finding the Fourth Proportional to 76,325.14, 114,558.18 and 55,000

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Solution

The fourth proportional to 76,325.14, 114,558.18 and 55,000 is: 82,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,325.14 : 114,558.18 = 55,000 : x
  2. Step 2: Convert to fraction form
    76,325.14/114,558.18 = 55,000/x
  3. Step 3: Cross multiply
    76,325.14x = 114,558.18 × 55,000
  4. Step 4: Simplify right side
    76,325.14x = 6,300,699,900
  5. Step 5: Solve for x
    x = 6,300,699,900/76,325.14
  6. Step 6: Final answer
    x = 82,550.78

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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.