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Finding the Fourth Proportional to 32,027.14, 47,830.45 and 27,296.74

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Solution

The fourth proportional to 32,027.14, 47,830.45 and 27,296.74 is: 40,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.14 : 47,830.45 = 27,296.74 : x
  2. Step 2: Convert to fraction form
    32,027.14/47,830.45 = 27,296.74/x
  3. Step 3: Cross multiply
    32,027.14x = 47,830.45 × 27,296.74
  4. Step 4: Simplify right side
    32,027.14x = 1,305,615,221.25
  5. Step 5: Solve for x
    x = 1,305,615,221.25/32,027.14
  6. Step 6: Final answer
    x = 40,765.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.