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Finding the Fourth Proportional to 34,227.52, 51,340.14 and 13,162.12

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Solution

The fourth proportional to 34,227.52, 51,340.14 and 13,162.12 is: 19,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.52 : 51,340.14 = 13,162.12 : x
  2. Step 2: Convert to fraction form
    34,227.52/51,340.14 = 13,162.12/x
  3. Step 3: Cross multiply
    34,227.52x = 51,340.14 × 13,162.12
  4. Step 4: Simplify right side
    34,227.52x = 675,745,083.50
  5. Step 5: Solve for x
    x = 675,745,083.50/34,227.52
  6. Step 6: Final answer
    x = 19,742.74

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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.