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Finding the Fourth Proportional to 51,736.62, 71,340.03 and 34,940.46

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Solution

The fourth proportional to 51,736.62, 71,340.03 and 34,940.46 is: 48,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736.62 : 71,340.03 = 34,940.46 : x
  2. Step 2: Convert to fraction form
    51,736.62/71,340.03 = 34,940.46/x
  3. Step 3: Cross multiply
    51,736.62x = 71,340.03 × 34,940.46
  4. Step 4: Simplify right side
    51,736.62x = 2,492,653,464.61
  5. Step 5: Solve for x
    x = 2,492,653,464.61/51,736.62
  6. Step 6: Final answer
    x = 48,179.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.