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Finding the Fourth Proportional to 50,438.12, 69,605.12 and 27,777.56

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Solution

The fourth proportional to 50,438.12, 69,605.12 and 27,777.56 is: 38,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438.12 : 69,605.12 = 27,777.56 : x
  2. Step 2: Convert to fraction form
    50,438.12/69,605.12 = 27,777.56/x
  3. Step 3: Cross multiply
    50,438.12x = 69,605.12 × 27,777.56
  4. Step 4: Simplify right side
    50,438.12x = 1,933,460,118.53
  5. Step 5: Solve for x
    x = 1,933,460,118.53/50,438.12
  6. Step 6: Final answer
    x = 38,333.31

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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.