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Finding the Fourth Proportional to 34,561.71, 51,842.23 and 15,836.44

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Solution

The fourth proportional to 34,561.71, 51,842.23 and 15,836.44 is: 23,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,561.71 : 51,842.23 = 15,836.44 : x
  2. Step 2: Convert to fraction form
    34,561.71/51,842.23 = 15,836.44/x
  3. Step 3: Cross multiply
    34,561.71x = 51,842.23 × 15,836.44
  4. Step 4: Simplify right side
    34,561.71x = 820,996,147.06
  5. Step 5: Solve for x
    x = 820,996,147.06/34,561.71
  6. Step 6: Final answer
    x = 23,754.50

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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.