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Finding the Fourth Proportional to 67,099.27, 100,649.33 and 19,714.16

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Solution

The fourth proportional to 67,099.27, 100,649.33 and 19,714.16 is: 29,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,099.27 : 100,649.33 = 19,714.16 : x
  2. Step 2: Convert to fraction form
    67,099.27/100,649.33 = 19,714.16/x
  3. Step 3: Cross multiply
    67,099.27x = 100,649.33 × 19,714.16
  4. Step 4: Simplify right side
    67,099.27x = 1,984,217,296.42
  5. Step 5: Solve for x
    x = 1,984,217,296.42/67,099.27
  6. Step 6: Final answer
    x = 29,571.37

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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.