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Finding the Fourth Proportional to 76,462.75, 114,630.98 and 33,737.76

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Solution

The fourth proportional to 76,462.75, 114,630.98 and 33,737.76 is: 50,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462.75 : 114,630.98 = 33,737.76 : x
  2. Step 2: Convert to fraction form
    76,462.75/114,630.98 = 33,737.76/x
  3. Step 3: Cross multiply
    76,462.75x = 114,630.98 × 33,737.76
  4. Step 4: Simplify right side
    76,462.75x = 3,867,392,323.12
  5. Step 5: Solve for x
    x = 3,867,392,323.12/76,462.75
  6. Step 6: Final answer
    x = 50,578.78

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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.