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Finding the Fourth Proportional to 76,367.14, 114,493.11 and 50,078.50

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Solution

The fourth proportional to 76,367.14, 114,493.11 and 50,078.50 is: 75,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,367.14 : 114,493.11 = 50,078.50 : x
  2. Step 2: Convert to fraction form
    76,367.14/114,493.11 = 50,078.50/x
  3. Step 3: Cross multiply
    76,367.14x = 114,493.11 × 50,078.50
  4. Step 4: Simplify right side
    76,367.14x = 5,733,643,209.14
  5. Step 5: Solve for x
    x = 5,733,643,209.14/76,367.14
  6. Step 6: Final answer
    x = 75,079.98

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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.