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Finding the Fourth Proportional to 34,282.28, 51,431.62 and 12,100.64

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Solution

The fourth proportional to 34,282.28, 51,431.62 and 12,100.64 is: 18,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.28 : 51,431.62 = 12,100.64 : x
  2. Step 2: Convert to fraction form
    34,282.28/51,431.62 = 12,100.64/x
  3. Step 3: Cross multiply
    34,282.28x = 51,431.62 × 12,100.64
  4. Step 4: Simplify right side
    34,282.28x = 622,355,518.24
  5. Step 5: Solve for x
    x = 622,355,518.24/34,282.28
  6. Step 6: Final answer
    x = 18,153.85

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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.