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Finding the Fourth Proportional to 31,932.36, 47,899.32 and 9,745.68

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Solution

The fourth proportional to 31,932.36, 47,899.32 and 9,745.68 is: 14,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.36 : 47,899.32 = 9,745.68 : x
  2. Step 2: Convert to fraction form
    31,932.36/47,899.32 = 9,745.68/x
  3. Step 3: Cross multiply
    31,932.36x = 47,899.32 × 9,745.68
  4. Step 4: Simplify right side
    31,932.36x = 466,811,444.94
  5. Step 5: Solve for x
    x = 466,811,444.94/31,932.36
  6. Step 6: Final answer
    x = 14,618.76

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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.