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Finding the Fourth Proportional to 73,108, 109,836.96 and 46,864

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Solution

The fourth proportional to 73,108, 109,836.96 and 46,864 is: 70,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,108 : 109,836.96 = 46,864 : x
  2. Step 2: Convert to fraction form
    73,108/109,836.96 = 46,864/x
  3. Step 3: Cross multiply
    73,108x = 109,836.96 × 46,864
  4. Step 4: Simplify right side
    73,108x = 5,147,399,293.44
  5. Step 5: Solve for x
    x = 5,147,399,293.44/73,108
  6. Step 6: Final answer
    x = 70,408.15

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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.