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Finding the Fourth Proportional to 34,551.96, 51,795.09 and 13,505.49

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Solution

The fourth proportional to 34,551.96, 51,795.09 and 13,505.49 is: 20,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551.96 : 51,795.09 = 13,505.49 : x
  2. Step 2: Convert to fraction form
    34,551.96/51,795.09 = 13,505.49/x
  3. Step 3: Cross multiply
    34,551.96x = 51,795.09 × 13,505.49
  4. Step 4: Simplify right side
    34,551.96x = 699,518,070.04
  5. Step 5: Solve for x
    x = 699,518,070.04/34,551.96
  6. Step 6: Final answer
    x = 20,245.39

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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.