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Finding the Fourth Proportional to 31,466.46, 47,207.83 and 11,745.19

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Solution

The fourth proportional to 31,466.46, 47,207.83 and 11,745.19 is: 17,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466.46 : 47,207.83 = 11,745.19 : x
  2. Step 2: Convert to fraction form
    31,466.46/47,207.83 = 11,745.19/x
  3. Step 3: Cross multiply
    31,466.46x = 47,207.83 × 11,745.19
  4. Step 4: Simplify right side
    31,466.46x = 554,464,932.84
  5. Step 5: Solve for x
    x = 554,464,932.84/31,466.46
  6. Step 6: Final answer
    x = 17,620.82

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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.