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Finding the Fourth Proportional to 50,729.63, 69,976.31 and 33,502.11

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Solution

The fourth proportional to 50,729.63, 69,976.31 and 33,502.11 is: 46,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729.63 : 69,976.31 = 33,502.11 : x
  2. Step 2: Convert to fraction form
    50,729.63/69,976.31 = 33,502.11/x
  3. Step 3: Cross multiply
    50,729.63x = 69,976.31 × 33,502.11
  4. Step 4: Simplify right side
    50,729.63x = 2,344,353,867.50
  5. Step 5: Solve for x
    x = 2,344,353,867.50/50,729.63
  6. Step 6: Final answer
    x = 46,212.72

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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.