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Finding the Fourth Proportional to 50,789.92, 76,114.82 and 38,296.22

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Solution

The fourth proportional to 50,789.92, 76,114.82 and 38,296.22 is: 57,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789.92 : 76,114.82 = 38,296.22 : x
  2. Step 2: Convert to fraction form
    50,789.92/76,114.82 = 38,296.22/x
  3. Step 3: Cross multiply
    50,789.92x = 76,114.82 × 38,296.22
  4. Step 4: Simplify right side
    50,789.92x = 2,914,909,854.23
  5. Step 5: Solve for x
    x = 2,914,909,854.23/50,789.92
  6. Step 6: Final answer
    x = 57,391.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.