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Finding the Fourth Proportional to 50,739.43, 70,017.19 and 27,764.59

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Solution

The fourth proportional to 50,739.43, 70,017.19 and 27,764.59 is: 38,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,739.43 : 70,017.19 = 27,764.59 : x
  2. Step 2: Convert to fraction form
    50,739.43/70,017.19 = 27,764.59/x
  3. Step 3: Cross multiply
    50,739.43x = 70,017.19 × 27,764.59
  4. Step 4: Simplify right side
    50,739.43x = 1,943,998,573.30
  5. Step 5: Solve for x
    x = 1,943,998,573.30/50,739.43
  6. Step 6: Final answer
    x = 38,313.37

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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.