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Finding the Fourth Proportional to 50,245.31, 69,338.53 and 27,889.31

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Solution

The fourth proportional to 50,245.31, 69,338.53 and 27,889.31 is: 38,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.31 : 69,338.53 = 27,889.31 : x
  2. Step 2: Convert to fraction form
    50,245.31/69,338.53 = 27,889.31/x
  3. Step 3: Cross multiply
    50,245.31x = 69,338.53 × 27,889.31
  4. Step 4: Simplify right side
    50,245.31x = 1,933,803,966.32
  5. Step 5: Solve for x
    x = 1,933,803,966.32/50,245.31
  6. Step 6: Final answer
    x = 38,487.25

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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.