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Finding the Fourth Proportional to 100,245.68, 150,391.75 and 29,170

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Solution

The fourth proportional to 100,245.68, 150,391.75 and 29,170 is: 43,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245.68 : 150,391.75 = 29,170 : x
  2. Step 2: Convert to fraction form
    100,245.68/150,391.75 = 29,170/x
  3. Step 3: Cross multiply
    100,245.68x = 150,391.75 × 29,170
  4. Step 4: Simplify right side
    100,245.68x = 4,386,927,347.50
  5. Step 5: Solve for x
    x = 4,386,927,347.50/100,245.68
  6. Step 6: Final answer
    x = 43,761.76

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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.