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Finding the Fourth Proportional to 50,597.82, 69,824.16 and 27,939

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Solution

The fourth proportional to 50,597.82, 69,824.16 and 27,939 is: 38,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,597.82 : 69,824.16 = 27,939 : x
  2. Step 2: Convert to fraction form
    50,597.82/69,824.16 = 27,939/x
  3. Step 3: Cross multiply
    50,597.82x = 69,824.16 × 27,939
  4. Step 4: Simplify right side
    50,597.82x = 1,950,817,206.24
  5. Step 5: Solve for x
    x = 1,950,817,206.24/50,597.82
  6. Step 6: Final answer
    x = 38,555.36

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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.