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Finding the Fourth Proportional to 100,553.34, 150,830.28 and 33,975.66

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Solution

The fourth proportional to 100,553.34, 150,830.28 and 33,975.66 is: 50,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553.34 : 150,830.28 = 33,975.66 : x
  2. Step 2: Convert to fraction form
    100,553.34/150,830.28 = 33,975.66/x
  3. Step 3: Cross multiply
    100,553.34x = 150,830.28 × 33,975.66
  4. Step 4: Simplify right side
    100,553.34x = 5,124,558,310.98
  5. Step 5: Solve for x
    x = 5,124,558,310.98/100,553.34
  6. Step 6: Final answer
    x = 50,963.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.