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Finding the Fourth Proportional to 103,995.90, 155,971.64 and 32,924.56

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Solution

The fourth proportional to 103,995.90, 155,971.64 and 32,924.56 is: 49,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,995.90 : 155,971.64 = 32,924.56 : x
  2. Step 2: Convert to fraction form
    103,995.90/155,971.64 = 32,924.56/x
  3. Step 3: Cross multiply
    103,995.90x = 155,971.64 × 32,924.56
  4. Step 4: Simplify right side
    103,995.90x = 5,135,297,619.48
  5. Step 5: Solve for x
    x = 5,135,297,619.48/103,995.90
  6. Step 6: Final answer
    x = 49,379.81

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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.