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Finding the Fourth Proportional to 76,665.14, 114,958.82 and 35,076.50

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Solution

The fourth proportional to 76,665.14, 114,958.82 and 35,076.50 is: 52,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,665.14 : 114,958.82 = 35,076.50 : x
  2. Step 2: Convert to fraction form
    76,665.14/114,958.82 = 35,076.50/x
  3. Step 3: Cross multiply
    76,665.14x = 114,958.82 × 35,076.50
  4. Step 4: Simplify right side
    76,665.14x = 4,032,353,049.73
  5. Step 5: Solve for x
    x = 4,032,353,049.73/76,665.14
  6. Step 6: Final answer
    x = 52,596.96

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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.