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Finding the Fourth Proportional to 103,838.15, 155,757.22 and 32,767.97

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Solution

The fourth proportional to 103,838.15, 155,757.22 and 32,767.97 is: 49,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,838.15 : 155,757.22 = 32,767.97 : x
  2. Step 2: Convert to fraction form
    103,838.15/155,757.22 = 32,767.97/x
  3. Step 3: Cross multiply
    103,838.15x = 155,757.22 × 32,767.97
  4. Step 4: Simplify right side
    103,838.15x = 5,103,848,219.72
  5. Step 5: Solve for x
    x = 5,103,848,219.72/103,838.15
  6. Step 6: Final answer
    x = 49,151.96

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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.