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Finding the Fourth Proportional to 103,953.81, 155,914.52 and 33,832.65

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Solution

The fourth proportional to 103,953.81, 155,914.52 and 33,832.65 is: 50,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953.81 : 155,914.52 = 33,832.65 : x
  2. Step 2: Convert to fraction form
    103,953.81/155,914.52 = 33,832.65/x
  3. Step 3: Cross multiply
    103,953.81x = 155,914.52 × 33,832.65
  4. Step 4: Simplify right side
    103,953.81x = 5,275,001,215.91
  5. Step 5: Solve for x
    x = 5,275,001,215.91/103,953.81
  6. Step 6: Final answer
    x = 50,743.70

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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.