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Finding the Fourth Proportional to 100,850.86, 151,241 and 29,754.62

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Solution

The fourth proportional to 100,850.86, 151,241 and 29,754.62 is: 44,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,850.86 : 151,241 = 29,754.62 : x
  2. Step 2: Convert to fraction form
    100,850.86/151,241 = 29,754.62/x
  3. Step 3: Cross multiply
    100,850.86x = 151,241 × 29,754.62
  4. Step 4: Simplify right side
    100,850.86x = 4,500,118,483.42
  5. Step 5: Solve for x
    x = 4,500,118,483.42/100,850.86
  6. Step 6: Final answer
    x = 44,621.52

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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.