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Finding the Fourth Proportional to 84,394.24, 126,591.60 and 31,789.60

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Solution

The fourth proportional to 84,394.24, 126,591.60 and 31,789.60 is: 47,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394.24 : 126,591.60 = 31,789.60 : x
  2. Step 2: Convert to fraction form
    84,394.24/126,591.60 = 31,789.60/x
  3. Step 3: Cross multiply
    84,394.24x = 126,591.60 × 31,789.60
  4. Step 4: Simplify right side
    84,394.24x = 4,024,296,327.36
  5. Step 5: Solve for x
    x = 4,024,296,327.36/84,394.24
  6. Step 6: Final answer
    x = 47,684.49

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