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Finding the Fourth Proportional to 34,228.80, 51,348.60 and 10,857.60

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Solution

The fourth proportional to 34,228.80, 51,348.60 and 10,857.60 is: 16,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.80 : 51,348.60 = 10,857.60 : x
  2. Step 2: Convert to fraction form
    34,228.80/51,348.60 = 10,857.60/x
  3. Step 3: Cross multiply
    34,228.80x = 51,348.60 × 10,857.60
  4. Step 4: Simplify right side
    34,228.80x = 557,522,559.36
  5. Step 5: Solve for x
    x = 557,522,559.36/34,228.80
  6. Step 6: Final answer
    x = 16,288.11

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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.