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Finding the Fourth Proportional to 76,754.99, 115,076.90 and 32,357.37

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Solution

The fourth proportional to 76,754.99, 115,076.90 and 32,357.37 is: 48,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.99 : 115,076.90 = 32,357.37 : x
  2. Step 2: Convert to fraction form
    76,754.99/115,076.90 = 32,357.37/x
  3. Step 3: Cross multiply
    76,754.99x = 115,076.90 × 32,357.37
  4. Step 4: Simplify right side
    76,754.99x = 3,723,586,344.18
  5. Step 5: Solve for x
    x = 3,723,586,344.18/76,754.99
  6. Step 6: Final answer
    x = 48,512.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.