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Finding the Fourth Proportional to 100,814.64, 151,169.67 and 29,727.92

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Solution

The fourth proportional to 100,814.64, 151,169.67 and 29,727.92 is: 44,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814.64 : 151,169.67 = 29,727.92 : x
  2. Step 2: Convert to fraction form
    100,814.64/151,169.67 = 29,727.92/x
  3. Step 3: Cross multiply
    100,814.64x = 151,169.67 × 29,727.92
  4. Step 4: Simplify right side
    100,814.64x = 4,493,959,100.34
  5. Step 5: Solve for x
    x = 4,493,959,100.34/100,814.64
  6. Step 6: Final answer
    x = 44,576.45

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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.