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Finding the Fourth Proportional to 47,138.22, 65,043.97 and 27,745.61

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Solution

The fourth proportional to 47,138.22, 65,043.97 and 27,745.61 is: 38,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138.22 : 65,043.97 = 27,745.61 : x
  2. Step 2: Convert to fraction form
    47,138.22/65,043.97 = 27,745.61/x
  3. Step 3: Cross multiply
    47,138.22x = 65,043.97 × 27,745.61
  4. Step 4: Simplify right side
    47,138.22x = 1,804,684,624.47
  5. Step 5: Solve for x
    x = 1,804,684,624.47/47,138.22
  6. Step 6: Final answer
    x = 38,284.95

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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.