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Finding the Fourth Proportional to 50,738.93, 70,016.50 and 27,764.09

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Solution

The fourth proportional to 50,738.93, 70,016.50 and 27,764.09 is: 38,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.93 : 70,016.50 = 27,764.09 : x
  2. Step 2: Convert to fraction form
    50,738.93/70,016.50 = 27,764.09/x
  3. Step 3: Cross multiply
    50,738.93x = 70,016.50 × 27,764.09
  4. Step 4: Simplify right side
    50,738.93x = 1,943,944,407.49
  5. Step 5: Solve for x
    x = 1,943,944,407.49/50,738.93
  6. Step 6: Final answer
    x = 38,312.68

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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.