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Finding the Fourth Proportional to 67,118.13, 100,586.48 and 29,671.83

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Solution

The fourth proportional to 67,118.13, 100,586.48 and 29,671.83 is: 44,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,118.13 : 100,586.48 = 29,671.83 : x
  2. Step 2: Convert to fraction form
    67,118.13/100,586.48 = 29,671.83/x
  3. Step 3: Cross multiply
    67,118.13x = 100,586.48 × 29,671.83
  4. Step 4: Simplify right side
    67,118.13x = 2,984,584,786.50
  5. Step 5: Solve for x
    x = 2,984,584,786.50/67,118.13
  6. Step 6: Final answer
    x = 44,467.64

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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.