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Finding the Fourth Proportional to 45,930.12, 68,902.40 and 19,635

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Solution

The fourth proportional to 45,930.12, 68,902.40 and 19,635 is: 29,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.12 : 68,902.40 = 19,635 : x
  2. Step 2: Convert to fraction form
    45,930.12/68,902.40 = 19,635/x
  3. Step 3: Cross multiply
    45,930.12x = 68,902.40 × 19,635
  4. Step 4: Simplify right side
    45,930.12x = 1,352,898,624
  5. Step 5: Solve for x
    x = 1,352,898,624/45,930.12
  6. Step 6: Final answer
    x = 29,455.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.