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Finding the Fourth Proportional to 51,713.39, 71,359.44 and 29,047.25

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Solution

The fourth proportional to 51,713.39, 71,359.44 and 29,047.25 is: 40,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.39 : 71,359.44 = 29,047.25 : x
  2. Step 2: Convert to fraction form
    51,713.39/71,359.44 = 29,047.25/x
  3. Step 3: Cross multiply
    51,713.39x = 71,359.44 × 29,047.25
  4. Step 4: Simplify right side
    51,713.39x = 2,072,795,493.54
  5. Step 5: Solve for x
    x = 2,072,795,493.54/51,713.39
  6. Step 6: Final answer
    x = 40,082.38

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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.