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Finding the Fourth Proportional to 34,071.81, 51,114.21 and 11,891.52

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Solution

The fourth proportional to 34,071.81, 51,114.21 and 11,891.52 is: 17,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.81 : 51,114.21 = 11,891.52 : x
  2. Step 2: Convert to fraction form
    34,071.81/51,114.21 = 11,891.52/x
  3. Step 3: Cross multiply
    34,071.81x = 51,114.21 × 11,891.52
  4. Step 4: Simplify right side
    34,071.81x = 607,825,650.50
  5. Step 5: Solve for x
    x = 607,825,650.50/34,071.81
  6. Step 6: Final answer
    x = 17,839.55

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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.