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Finding the Fourth Proportional to 47,338.40, 65,330.16 and 27,201.84

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Solution

The fourth proportional to 47,338.40, 65,330.16 and 27,201.84 is: 37,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,338.40 : 65,330.16 = 27,201.84 : x
  2. Step 2: Convert to fraction form
    47,338.40/65,330.16 = 27,201.84/x
  3. Step 3: Cross multiply
    47,338.40x = 65,330.16 × 27,201.84
  4. Step 4: Simplify right side
    47,338.40x = 1,777,100,559.49
  5. Step 5: Solve for x
    x = 1,777,100,559.49/47,338.40
  6. Step 6: Final answer
    x = 37,540.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.