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Finding the Fourth Proportional to 31,777.37, 47,671.53 and 13,067.58

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Solution

The fourth proportional to 31,777.37, 47,671.53 and 13,067.58 is: 19,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.37 : 47,671.53 = 13,067.58 : x
  2. Step 2: Convert to fraction form
    31,777.37/47,671.53 = 13,067.58/x
  3. Step 3: Cross multiply
    31,777.37x = 47,671.53 × 13,067.58
  4. Step 4: Simplify right side
    31,777.37x = 622,951,532.00
  5. Step 5: Solve for x
    x = 622,951,532.00/31,777.37
  6. Step 6: Final answer
    x = 19,603.62

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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.