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Finding the Fourth Proportional to 50,446.72, 69,615.84 and 27,785.26

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Solution

The fourth proportional to 50,446.72, 69,615.84 and 27,785.26 is: 38,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446.72 : 69,615.84 = 27,785.26 : x
  2. Step 2: Convert to fraction form
    50,446.72/69,615.84 = 27,785.26/x
  3. Step 3: Cross multiply
    50,446.72x = 69,615.84 × 27,785.26
  4. Step 4: Simplify right side
    50,446.72x = 1,934,294,214.52
  5. Step 5: Solve for x
    x = 1,934,294,214.52/50,446.72
  6. Step 6: Final answer
    x = 38,343.31

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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.