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Finding the Fourth Proportional to 75,936.39, 113,913.70 and 31,593.14

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Solution

The fourth proportional to 75,936.39, 113,913.70 and 31,593.14 is: 47,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,936.39 : 113,913.70 = 31,593.14 : x
  2. Step 2: Convert to fraction form
    75,936.39/113,913.70 = 31,593.14/x
  3. Step 3: Cross multiply
    75,936.39x = 113,913.70 × 31,593.14
  4. Step 4: Simplify right side
    75,936.39x = 3,598,891,472.02
  5. Step 5: Solve for x
    x = 3,598,891,472.02/75,936.39
  6. Step 6: Final answer
    x = 47,393.50

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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.