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Finding the Fourth Proportional to 34,204, 51,268.64 and 21,729.60

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Solution

The fourth proportional to 34,204, 51,268.64 and 21,729.60 is: 32,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204 : 51,268.64 = 21,729.60 : x
  2. Step 2: Convert to fraction form
    34,204/51,268.64 = 21,729.60/x
  3. Step 3: Cross multiply
    34,204x = 51,268.64 × 21,729.60
  4. Step 4: Simplify right side
    34,204x = 1,114,047,039.74
  5. Step 5: Solve for x
    x = 1,114,047,039.74/34,204
  6. Step 6: Final answer
    x = 32,570.67

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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.