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Finding the Fourth Proportional to 51,891.66, 77,842.53 and 13,940.46

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Solution

The fourth proportional to 51,891.66, 77,842.53 and 13,940.46 is: 20,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.66 : 77,842.53 = 13,940.46 : x
  2. Step 2: Convert to fraction form
    51,891.66/77,842.53 = 13,940.46/x
  3. Step 3: Cross multiply
    51,891.66x = 77,842.53 × 13,940.46
  4. Step 4: Simplify right side
    51,891.66x = 1,085,160,675.76
  5. Step 5: Solve for x
    x = 1,085,160,675.76/51,891.66
  6. Step 6: Final answer
    x = 20,912.04

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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.