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Finding the Fourth Proportional to 76,728.34, 115,161.09 and 39,313.90

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Solution

The fourth proportional to 76,728.34, 115,161.09 and 39,313.90 is: 59,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.34 : 115,161.09 = 39,313.90 : x
  2. Step 2: Convert to fraction form
    76,728.34/115,161.09 = 39,313.90/x
  3. Step 3: Cross multiply
    76,728.34x = 115,161.09 × 39,313.90
  4. Step 4: Simplify right side
    76,728.34x = 4,527,431,576.15
  5. Step 5: Solve for x
    x = 4,527,431,576.15/76,728.34
  6. Step 6: Final answer
    x = 59,005.99

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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.