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Finding the Fourth Proportional to 100,374.65, 150,576.30 and 32,892.26

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Solution

The fourth proportional to 100,374.65, 150,576.30 and 32,892.26 is: 49,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,374.65 : 150,576.30 = 32,892.26 : x
  2. Step 2: Convert to fraction form
    100,374.65/150,576.30 = 32,892.26/x
  3. Step 3: Cross multiply
    100,374.65x = 150,576.30 × 32,892.26
  4. Step 4: Simplify right side
    100,374.65x = 4,952,794,809.44
  5. Step 5: Solve for x
    x = 4,952,794,809.44/100,374.65
  6. Step 6: Final answer
    x = 49,343.08

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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.