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Finding the Fourth Proportional to 34,511.58, 51,757.37 and 13,446.93

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Solution

The fourth proportional to 34,511.58, 51,757.37 and 13,446.93 is: 20,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511.58 : 51,757.37 = 13,446.93 : x
  2. Step 2: Convert to fraction form
    34,511.58/51,757.37 = 13,446.93/x
  3. Step 3: Cross multiply
    34,511.58x = 51,757.37 × 13,446.93
  4. Step 4: Simplify right side
    34,511.58x = 695,977,405.35
  5. Step 5: Solve for x
    x = 695,977,405.35/34,511.58
  6. Step 6: Final answer
    x = 20,166.49

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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.