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Finding the Fourth Proportional to 85,245.96, 127,843.02 and 29,829

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Solution

The fourth proportional to 85,245.96, 127,843.02 and 29,829 is: 44,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,245.96 : 127,843.02 = 29,829 : x
  2. Step 2: Convert to fraction form
    85,245.96/127,843.02 = 29,829/x
  3. Step 3: Cross multiply
    85,245.96x = 127,843.02 × 29,829
  4. Step 4: Simplify right side
    85,245.96x = 3,813,429,443.58
  5. Step 5: Solve for x
    x = 3,813,429,443.58/85,245.96
  6. Step 6: Final answer
    x = 44,734.43

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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.