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Finding the Fourth Proportional to 104,676.42, 156,991.05 and 29,794.91

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Solution

The fourth proportional to 104,676.42, 156,991.05 and 29,794.91 is: 44,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,676.42 : 156,991.05 = 29,794.91 : x
  2. Step 2: Convert to fraction form
    104,676.42/156,991.05 = 29,794.91/x
  3. Step 3: Cross multiply
    104,676.42x = 156,991.05 × 29,794.91
  4. Step 4: Simplify right side
    104,676.42x = 4,677,533,738.59
  5. Step 5: Solve for x
    x = 4,677,533,738.59/104,676.42
  6. Step 6: Final answer
    x = 44,685.65

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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.