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Finding the Fourth Proportional to 34,494.96, 51,705.60 and 19,671.96

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Solution

The fourth proportional to 34,494.96, 51,705.60 and 19,671.96 is: 29,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494.96 : 51,705.60 = 19,671.96 : x
  2. Step 2: Convert to fraction form
    34,494.96/51,705.60 = 19,671.96/x
  3. Step 3: Cross multiply
    34,494.96x = 51,705.60 × 19,671.96
  4. Step 4: Simplify right side
    34,494.96x = 1,017,150,494.98
  5. Step 5: Solve for x
    x = 1,017,150,494.98/34,494.96
  6. Step 6: Final answer
    x = 29,486.93

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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.