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Finding the Fourth Proportional to 77,983.32, 107,612.64 and 43,997.34

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Solution

The fourth proportional to 77,983.32, 107,612.64 and 43,997.34 is: 60,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,983.32 : 107,612.64 = 43,997.34 : x
  2. Step 2: Convert to fraction form
    77,983.32/107,612.64 = 43,997.34/x
  3. Step 3: Cross multiply
    77,983.32x = 107,612.64 × 43,997.34
  4. Step 4: Simplify right side
    77,983.32x = 4,734,669,910.38
  5. Step 5: Solve for x
    x = 4,734,669,910.38/77,983.32
  6. Step 6: Final answer
    x = 60,713.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.