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Finding the Fourth Proportional to 76,736.37, 115,029.37 and 36,744.06

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Solution

The fourth proportional to 76,736.37, 115,029.37 and 36,744.06 is: 55,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,736.37 : 115,029.37 = 36,744.06 : x
  2. Step 2: Convert to fraction form
    76,736.37/115,029.37 = 36,744.06/x
  3. Step 3: Cross multiply
    76,736.37x = 115,029.37 × 36,744.06
  4. Step 4: Simplify right side
    76,736.37x = 4,226,646,073.04
  5. Step 5: Solve for x
    x = 4,226,646,073.04/76,736.37
  6. Step 6: Final answer
    x = 55,080.09

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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.