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Finding the Fourth Proportional to 100,019.82, 150,029.73 and 29,896.86

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Solution

The fourth proportional to 100,019.82, 150,029.73 and 29,896.86 is: 44,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019.82 : 150,029.73 = 29,896.86 : x
  2. Step 2: Convert to fraction form
    100,019.82/150,029.73 = 29,896.86/x
  3. Step 3: Cross multiply
    100,019.82x = 150,029.73 × 29,896.86
  4. Step 4: Simplify right side
    100,019.82x = 4,485,417,833.65
  5. Step 5: Solve for x
    x = 4,485,417,833.65/100,019.82
  6. Step 6: Final answer
    x = 44,845.29

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1.5x scale

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.