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Finding the Fourth Proportional to 100,375.65, 150,577.80 and 32,893.26

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Solution

The fourth proportional to 100,375.65, 150,577.80 and 32,893.26 is: 49,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,375.65 : 150,577.80 = 32,893.26 : x
  2. Step 2: Convert to fraction form
    100,375.65/150,577.80 = 32,893.26/x
  3. Step 3: Cross multiply
    100,375.65x = 150,577.80 × 32,893.26
  4. Step 4: Simplify right side
    100,375.65x = 4,952,994,725.63
  5. Step 5: Solve for x
    x = 4,952,994,725.63/100,375.65
  6. Step 6: Final answer
    x = 49,344.58

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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.