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Finding the Fourth Proportional to 100,252.73, 150,347.30 and 32,769.51

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Solution

The fourth proportional to 100,252.73, 150,347.30 and 32,769.51 is: 49,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,252.73 : 150,347.30 = 32,769.51 : x
  2. Step 2: Convert to fraction form
    100,252.73/150,347.30 = 32,769.51/x
  3. Step 3: Cross multiply
    100,252.73x = 150,347.30 × 32,769.51
  4. Step 4: Simplify right side
    100,252.73x = 4,926,806,435.24
  5. Step 5: Solve for x
    x = 4,926,806,435.24/100,252.73
  6. Step 6: Final answer
    x = 49,143.86

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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.