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Finding the Fourth Proportional to 34,142.55, 51,212 and 13,092.68

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Solution

The fourth proportional to 34,142.55, 51,212 and 13,092.68 is: 19,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.55 : 51,212 = 13,092.68 : x
  2. Step 2: Convert to fraction form
    34,142.55/51,212 = 13,092.68/x
  3. Step 3: Cross multiply
    34,142.55x = 51,212 × 13,092.68
  4. Step 4: Simplify right side
    34,142.55x = 670,502,072.10
  5. Step 5: Solve for x
    x = 670,502,072.10/34,142.55
  6. Step 6: Final answer
    x = 19,638.31

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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.