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Finding the Fourth Proportional to 34,282.90, 51,432.09 and 12,096.51

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Solution

The fourth proportional to 34,282.90, 51,432.09 and 12,096.51 is: 18,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.90 : 51,432.09 = 12,096.51 : x
  2. Step 2: Convert to fraction form
    34,282.90/51,432.09 = 12,096.51/x
  3. Step 3: Cross multiply
    34,282.90x = 51,432.09 × 12,096.51
  4. Step 4: Simplify right side
    34,282.90x = 622,148,791.01
  5. Step 5: Solve for x
    x = 622,148,791.01/34,282.90
  6. Step 6: Final answer
    x = 18,147.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.