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Finding the Fourth Proportional to 34,309.36, 51,470.16 and 12,135.60

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Solution

The fourth proportional to 34,309.36, 51,470.16 and 12,135.60 is: 18,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.36 : 51,470.16 = 12,135.60 : x
  2. Step 2: Convert to fraction form
    34,309.36/51,470.16 = 12,135.60/x
  3. Step 3: Cross multiply
    34,309.36x = 51,470.16 × 12,135.60
  4. Step 4: Simplify right side
    34,309.36x = 624,621,273.70
  5. Step 5: Solve for x
    x = 624,621,273.70/34,309.36
  6. Step 6: Final answer
    x = 18,205.56

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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.